What is the Greatest Common Factor of 60525 and 60543?

Greatest common factor (GCF) of 60525 and 60543 is 9.

GCF(60525,60543) = 9

We will now calculate the prime factors of 60525 and 60543, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60525 and 60543.

How to find the GCF of 60525 and 60543?

We will first find the prime factorization of 60525 and 60543. After we will calculate the factors of 60525 and 60543 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 60543

Prime factors of 60543 are 3, 7, 31. Prime factorization of 60543 in exponential form is:

60543 = 3² × 7¹ × 31²

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 60543

List of positive integer factors of 60543 that divides 60525 without a remainder.

1, 3, 7, 9, 21, 31, 63, 93, 217, 279, 651, 961, 1953, 2883, 6727, 8649, 20181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60525 and 60543. The biggest common factor number is the GCF number.
So the greatest common factor 60525 and 60543 is 9.

Also check out the Least Common Multiple of 60525 and 60543