What is the Greatest Common Factor of 924 and 944?

Greatest common factor (GCF) of 924 and 944 is 4.

GCF(924,944) = 4

We will now calculate the prime factors of 924 and 944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 924 and 944.

How to find the GCF of 924 and 944?

We will first find the prime factorization of 924 and 944. After we will calculate the factors of 924 and 944 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 944

Prime factors of 944 are 2, 59. Prime factorization of 944 in exponential form is:

944 = 2⁴ × 59¹

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 944

List of positive integer factors of 944 that divides 924 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 924 and 944. The biggest common factor number is the GCF number.
So the greatest common factor 924 and 944 is 4.

Also check out the Least Common Multiple of 924 and 944