What is the Greatest Common Factor of 60525 and 60538?

Greatest common factor (GCF) of 60525 and 60538 is 1.

GCF(60525,60538) = 1

We will now calculate the prime factors of 60525 and 60538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60525 and 60538.

How to find the GCF of 60525 and 60538?

We will first find the prime factorization of 60525 and 60538. After we will calculate the factors of 60525 and 60538 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 60538

Prime factors of 60538 are 2, 30269. Prime factorization of 60538 in exponential form is:

60538 = 2¹ × 30269¹

Step-3: Factors of 60525

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

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

Step-4: Factors of 60538

List of positive integer factors of 60538 that divides 60525 without a remainder.

1, 2, 30269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60525 and 60538. The biggest common factor number is the GCF number.
So the greatest common factor 60525 and 60538 is 1.

Also check out the Least Common Multiple of 60525 and 60538