What is the Greatest Common Factor of 65916 and 65928?

Greatest common factor (GCF) of 65916 and 65928 is 12.

GCF(65916,65928) = 12

We will now calculate the prime factors of 65916 and 65928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65916 and 65928.

How to find the GCF of 65916 and 65928?

We will first find the prime factorization of 65916 and 65928. After we will calculate the factors of 65916 and 65928 and find the biggest common factor number .

Step-1: Prime Factorization of 65916

Prime factors of 65916 are 2, 3, 1831. Prime factorization of 65916 in exponential form is:

65916 = 2² × 3² × 1831¹

Step-2: Prime Factorization of 65928

Prime factors of 65928 are 2, 3, 41, 67. Prime factorization of 65928 in exponential form is:

65928 = 2³ × 3¹ × 41¹ × 67¹

Step-3: Factors of 65916

List of positive integer factors of 65916 that divides 65916 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1831, 3662, 5493, 7324, 10986, 16479, 21972, 32958

Step-4: Factors of 65928

List of positive integer factors of 65928 that divides 65916 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 67, 82, 123, 134, 164, 201, 246, 268, 328, 402, 492, 536, 804, 984, 1608, 2747, 5494, 8241, 10988, 16482, 21976, 32964

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65916 and 65928. The biggest common factor number is the GCF number.
So the greatest common factor 65916 and 65928 is 12.

Also check out the Least Common Multiple of 65916 and 65928