What is the Greatest Common Factor of 914 and 924?

Greatest common factor (GCF) of 914 and 924 is 2.

GCF(914,924) = 2

We will now calculate the prime factors of 914 and 924, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 914 and 924.

How to find the GCF of 914 and 924?

We will first find the prime factorization of 914 and 924. After we will calculate the factors of 914 and 924 and find the biggest common factor number .

Step-1: Prime Factorization of 914

Prime factors of 914 are 2, 457. Prime factorization of 914 in exponential form is:

914 = 2¹ × 457¹

Step-2: 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-3: Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1, 2, 457

Step-4: Factors of 924

List of positive integer factors of 924 that divides 914 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 914 and 924. The biggest common factor number is the GCF number.
So the greatest common factor 914 and 924 is 2.

Also check out the Least Common Multiple of 914 and 924