What is the Greatest Common Factor of 60507 and 60525?

Greatest common factor (GCF) of 60507 and 60525 is 9.

GCF(60507,60525) = 9

We will now calculate the prime factors of 60507 and 60525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60507 and 60525.

How to find the GCF of 60507 and 60525?

We will first find the prime factorization of 60507 and 60525. After we will calculate the factors of 60507 and 60525 and find the biggest common factor number .

Step-1: Prime Factorization of 60507

Prime factors of 60507 are 3, 83. Prime factorization of 60507 in exponential form is:

60507 = 3⁶ × 83¹

Step-2: Prime Factorization of 60525

Prime factors of 60525 are 3, 5, 269. Prime factorization of 60525 in exponential form is:

60525 = 3² × 5² × 269¹

Step-3: Factors of 60507

List of positive integer factors of 60507 that divides 60507 without a remainder.

1, 3, 9, 27, 81, 83, 243, 249, 729, 747, 2241, 6723, 20169

Step-4: Factors of 60525

List of positive integer factors of 60525 that divides 60507 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 269, 807, 1345, 2421, 4035, 6725, 12105, 20175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60507 and 60525. The biggest common factor number is the GCF number.
So the greatest common factor 60507 and 60525 is 9.

Also check out the Least Common Multiple of 60507 and 60525