What is the Greatest Common Factor of 938 and 952?

Greatest common factor (GCF) of 938 and 952 is 14.

GCF(938,952) = 14

We will now calculate the prime factors of 938 and 952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 938 and 952.

How to find the GCF of 938 and 952?

We will first find the prime factorization of 938 and 952. After we will calculate the factors of 938 and 952 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 952

Prime factors of 952 are 2, 7, 17. Prime factorization of 952 in exponential form is:

952 = 2³ × 7¹ × 17¹

Step-3: Factors of 938

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

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

Step-4: Factors of 952

List of positive integer factors of 952 that divides 938 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 938 and 952. The biggest common factor number is the GCF number.
So the greatest common factor 938 and 952 is 14.

Also check out the Least Common Multiple of 938 and 952