What is the Greatest Common Factor of 60517 and 60525?

Greatest common factor (GCF) of 60517 and 60525 is 1.

GCF(60517,60525) = 1

We will now calculate the prime factors of 60517 and 60525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60517 and 60525.

How to find the GCF of 60517 and 60525?

We will first find the prime factorization of 60517 and 60525. After we will calculate the factors of 60517 and 60525 and find the biggest common factor number .

Step-1: Prime Factorization of 60517

Prime factors of 60517 are 73, 829. Prime factorization of 60517 in exponential form is:

60517 = 73¹ × 829¹

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 60517

List of positive integer factors of 60517 that divides 60517 without a remainder.

1, 73, 829

Step-4: Factors of 60525

List of positive integer factors of 60525 that divides 60517 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 60517 and 60525. The biggest common factor number is the GCF number.
So the greatest common factor 60517 and 60525 is 1.

Also check out the Least Common Multiple of 60517 and 60525