What is the Greatest Common Factor of 8914 and 8928?

Greatest common factor (GCF) of 8914 and 8928 is 2.

GCF(8914,8928) = 2

We will now calculate the prime factors of 8914 and 8928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8914 and 8928.

How to find the GCF of 8914 and 8928?

We will first find the prime factorization of 8914 and 8928. After we will calculate the factors of 8914 and 8928 and find the biggest common factor number .

Step-1: Prime Factorization of 8914

Prime factors of 8914 are 2, 4457. Prime factorization of 8914 in exponential form is:

8914 = 2¹ × 4457¹

Step-2: Prime Factorization of 8928

Prime factors of 8928 are 2, 3, 31. Prime factorization of 8928 in exponential form is:

8928 = 2⁵ × 3² × 31¹

Step-3: Factors of 8914

List of positive integer factors of 8914 that divides 8914 without a remainder.

1, 2, 4457

Step-4: Factors of 8928

List of positive integer factors of 8928 that divides 8914 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 31, 32, 36, 48, 62, 72, 93, 96, 124, 144, 186, 248, 279, 288, 372, 496, 558, 744, 992, 1116, 1488, 2232, 2976, 4464

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8914 and 8928. The biggest common factor number is the GCF number.
So the greatest common factor 8914 and 8928 is 2.

Also check out the Least Common Multiple of 8914 and 8928