What is the Greatest Common Factor of 65925 and 65939?

Greatest common factor (GCF) of 65925 and 65939 is 1.

GCF(65925,65939) = 1

We will now calculate the prime factors of 65925 and 65939, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65925 and 65939.

How to find the GCF of 65925 and 65939?

We will first find the prime factorization of 65925 and 65939. After we will calculate the factors of 65925 and 65939 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 65939

Prime factors of 65939 are 233, 283. Prime factorization of 65939 in exponential form is:

65939 = 233¹ × 283¹

Step-3: Factors of 65925

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

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

Step-4: Factors of 65939

List of positive integer factors of 65939 that divides 65925 without a remainder.

1, 233, 283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65925 and 65939. The biggest common factor number is the GCF number.
So the greatest common factor 65925 and 65939 is 1.

Also check out the Least Common Multiple of 65925 and 65939