# What is the Greatest Common Factor of 38 and 46?

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.

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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.