What is the Greatest Common Factor of 65908 and 65925?

Greatest common factor (GCF) of 65908 and 65925 is 1.

GCF(65908,65925) = 1

We will now calculate the prime factors of 65908 and 65925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65908 and 65925.

How to find the GCF of 65908 and 65925?

We will first find the prime factorization of 65908 and 65925. After we will calculate the factors of 65908 and 65925 and find the biggest common factor number .

Step-1: Prime Factorization of 65908

Prime factors of 65908 are 2, 16477. Prime factorization of 65908 in exponential form is:

65908 = 2² × 16477¹

Step-2: Prime Factorization of 65925

Prime factors of 65925 are 3, 5, 293. Prime factorization of 65925 in exponential form is:

65925 = 3² × 5² × 293¹

Step-3: Factors of 65908

List of positive integer factors of 65908 that divides 65908 without a remainder.

1, 2, 4, 16477, 32954

Step-4: Factors of 65925

List of positive integer factors of 65925 that divides 65908 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 293, 879, 1465, 2637, 4395, 7325, 13185, 21975

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65908 and 65925. The biggest common factor number is the GCF number.
So the greatest common factor 65908 and 65925 is 1.

Also check out the Least Common Multiple of 65908 and 65925