What is the Greatest Common Factor of 920 and 938?

Greatest common factor (GCF) of 920 and 938 is 2.

GCF(920,938) = 2

We will now calculate the prime factors of 920 and 938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 920 and 938.

How to find the GCF of 920 and 938?

We will first find the prime factorization of 920 and 938. After we will calculate the factors of 920 and 938 and find the biggest common factor number .

Step-1: Prime Factorization of 920

Prime factors of 920 are 2, 5, 23. Prime factorization of 920 in exponential form is:

920 = 2³ × 5¹ × 23¹

Step-2: Prime Factorization of 938

Prime factors of 938 are 2, 7, 67. Prime factorization of 938 in exponential form is:

938 = 2¹ × 7¹ × 67¹

Step-3: Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460

Step-4: Factors of 938

List of positive integer factors of 938 that divides 920 without a remainder.

1, 2, 7, 14, 67, 134, 469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 920 and 938. The biggest common factor number is the GCF number.
So the greatest common factor 920 and 938 is 2.

Also check out the Least Common Multiple of 920 and 938