What is the Greatest Common Factor of 924 and 938?

Greatest common factor (GCF) of 924 and 938 is 14.

GCF(924,938) = 14

We will now calculate the prime factors of 924 and 938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 924 and 938.

How to find the GCF of 924 and 938?

We will first find the prime factorization of 924 and 938. After we will calculate the factors of 924 and 938 and find the biggest common factor number .

Step-1: Prime Factorization of 924

Prime factors of 924 are 2, 3, 7, 11. Prime factorization of 924 in exponential form is:

924 = 2² × 3¹ × 7¹ × 11¹

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 924

List of positive integer factors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462

Step-4: Factors of 938

List of positive integer factors of 938 that divides 924 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 924 and 938. The biggest common factor number is the GCF number.
So the greatest common factor 924 and 938 is 14.

Also check out the Least Common Multiple of 924 and 938