The greatest common factor (GCF) of two numbers is the largest number that divides into both of them. It is a measure of the greatest amount that two numbers share in common. Finding the GCF of two numbers is a fairly simple process, but it can be confusing if you don’t understand the concept. To find the GCF of 38 and 46, you must first identify the prime factors of each number.

## Prime Factors of 38

The prime factors of 38 are 2 and 19. To find the prime factors, you must break 38 down into its smallest parts. The easiest way to do this is to divide 38 by 2. When you divide 38 by 2, you get 19. 19 is a prime number, so it cannot be broken down further. Therefore, the prime factors of 38 are 2 and 19.

## Prime Factors of 46

The prime factors of 46 are 2 and 23. To find the prime factors, you must break 46 down into its smallest parts. The easiest way to do this is to divide 46 by 2. When you divide 46 by 2, you get 23. 23 is a prime number, so it cannot be broken down further. Therefore, the prime factors of 46 are 2 and 23.

## Greatest Common Factor of 38 and 46

The greatest common factor of 38 and 46 is 2. This is because 2 is the highest prime factor that both numbers share in common. Therefore, 2 is the greatest common factor of 38 and 46.

Finding the greatest common factor of two numbers can be a simple process if you understand the concept. To find the GCF of 38 and 46, you must first identify the prime factors of each number. The prime factors of 38 are 2 and 19 and the prime factors of 46 are 2 and 23. The greatest common factor of 38 and 46 is 2, which is the highest prime factor that both numbers share in common.

### Related Posts:

- What is the Greatest Common Factor of 45 and 10? The greatest common factor (GCF) of two or more numbers is the largest number that evenly divides each of the numbers. In other words, it is the…
- Prime Factors of 675: Explained Prime factors are numbers that can be multiplied together to produce a given number. Prime factors of 675 are numbers that, when multiplied together, produce the result…
- What is the Greatest Common Factor of 56 and 92? The greatest common factor (GCF) is a mathematical term that refers to the largest number that is a factor of two or more numbers. In other words,…
- What is the Greatest Common Factor (GCF) of 85 and 51? The greatest common factor (GCF) of two or more numbers is the largest positive integer that evenly divides the numbers without a remainder. In other words, it…
- Greatest Common Factor Worksheet Algebra 1 The greatest common factor worksheet is one of the most important resources available for algebra 1 students. It is a great way to practice and review the…
- What Are The Factors of 5x216? Jack recently decided to break apart 5x216 and investigate the factors that make up the number. To do this, Jack has to use a variety of methods…
- What is the Greatest Common Factor (GCF) of 100 and 48? The greatest common factor (GCF) is an important concept in mathematics that is used to determine the largest integer that can divide two or more integers exactly.…
- Simplifying 19/21 into a Fraction The fraction 19/21 can be simplified into a simpler fraction. Simplifying a fraction is the process of reducing it to its simplest form. To simplify a fraction,…
- What is the Greatest Common Factor (GCF) of 21 and 40? The greatest common factor (GCF), also known as the greatest common divisor (GCD) or the highest common factor (HCF), is the largest positive integer that divides two…
- 7/12 Simplified in Fraction Form Fractions are parts of a whole. They are written using numbers and a division sign. The division sign between the two numbers represents the fraction. Simplifying fractions…
- Gridwords Factoring #1 Greatest Common Factor Gridwords factoring is a popular mathematical technique used to solve complex math problems. It involves breaking down a number into its component parts that are divisible by…
- What is the Least Common Multiple of 20 and 5? The least common multiple (LCM) of two or more numbers is the smallest number that is a multiple of all the numbers. For example, the least common…
- Solve 6 7 Divided by 36 56 Calculating the answer to 6 7 divided by 36 56 can seem complicated, but with the right steps and techniques, it can be simplified and made easier.…
- What is 40/48 in Simplest Form? In a fraction, the top number, or numerator, is divided by the bottom number, or denominator. When fractions are written in simplest form, they are reduced to…
- Deciphering All the Factors of 88 Understanding all the factors of a number can be a tricky task, especially when it comes to larger numbers. The number 88, in particular, can be especially…
- Calculating 18 42 in Simplest Form Simplifying fractions is a key math skill for anyone learning basic arithmetic. Simplifying fractions can help you solve many math problems and make them easier to understand.…
- Algebra 1 Factoring With GCF Worksheet Answers Algebra 1 is a difficult subject for many students. It requires a lot of practice and memorization to understand the concepts. Factoring with GCF is one of…