What is the Greatest Common Factor of 65925 and 65938?

Greatest common factor (GCF) of 65925 and 65938 is 1.

GCF(65925,65938) = 1

We will now calculate the prime factors of 65925 and 65938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65925 and 65938.

How to find the GCF of 65925 and 65938?

We will first find the prime factorization of 65925 and 65938. After we will calculate the factors of 65925 and 65938 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 65938

Prime factors of 65938 are 2, 32969. Prime factorization of 65938 in exponential form is:

65938 = 2¹ × 32969¹

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 65938

List of positive integer factors of 65938 that divides 65925 without a remainder.

1, 2, 32969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65925 and 65938. The biggest common factor number is the GCF number.
So the greatest common factor 65925 and 65938 is 1.

Also check out the Least Common Multiple of 65925 and 65938