What is the Greatest Common Factor of 65904 and 65916?

Greatest common factor (GCF) of 65904 and 65916 is 12.

GCF(65904,65916) = 12

We will now calculate the prime factors of 65904 and 65916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65904 and 65916.

How to find the GCF of 65904 and 65916?

We will first find the prime factorization of 65904 and 65916. After we will calculate the factors of 65904 and 65916 and find the biggest common factor number .

Step-1: Prime Factorization of 65904

Prime factors of 65904 are 2, 3, 1373. Prime factorization of 65904 in exponential form is:

65904 = 2⁴ × 3¹ × 1373¹

Step-2: 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-3: Factors of 65904

List of positive integer factors of 65904 that divides 65904 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1373, 2746, 4119, 5492, 8238, 10984, 16476, 21968, 32952

Step-4: Factors of 65916

List of positive integer factors of 65916 that divides 65904 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65904 and 65916. The biggest common factor number is the GCF number.
So the greatest common factor 65904 and 65916 is 12.

Also check out the Least Common Multiple of 65904 and 65916