What is the Greatest Common Factor of 924 and 934?

Greatest common factor (GCF) of 924 and 934 is 2.

GCF(924,934) = 2

We will now calculate the prime factors of 924 and 934, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 924 and 934.

How to find the GCF of 924 and 934?

We will first find the prime factorization of 924 and 934. After we will calculate the factors of 924 and 934 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 934

Prime factors of 934 are 2, 467. Prime factorization of 934 in exponential form is:

934 = 2¹ × 467¹

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 934

List of positive integer factors of 934 that divides 924 without a remainder.

1, 2, 467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 924 and 934. The biggest common factor number is the GCF number.
So the greatest common factor 924 and 934 is 2.

Also check out the Least Common Multiple of 924 and 934