What is the Greatest Common Factor of 65913 and 65928?

Greatest common factor (GCF) of 65913 and 65928 is 3.

GCF(65913,65928) = 3

We will now calculate the prime factors of 65913 and 65928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65913 and 65928.

How to find the GCF of 65913 and 65928?

We will first find the prime factorization of 65913 and 65928. After we will calculate the factors of 65913 and 65928 and find the biggest common factor number .

Step-1: Prime Factorization of 65913

Prime factors of 65913 are 3, 127, 173. Prime factorization of 65913 in exponential form is:

65913 = 3¹ × 127¹ × 173¹

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 65913

List of positive integer factors of 65913 that divides 65913 without a remainder.

1, 3, 127, 173, 381, 519, 21971

Step-4: Factors of 65928

List of positive integer factors of 65928 that divides 65913 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 65913 and 65928. The biggest common factor number is the GCF number.
So the greatest common factor 65913 and 65928 is 3.

Also check out the Least Common Multiple of 65913 and 65928