What is the Greatest Common Factor of 60525 and 60540?

Greatest common factor (GCF) of 60525 and 60540 is 15.

GCF(60525,60540) = 15

We will now calculate the prime factors of 60525 and 60540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60525 and 60540.

How to find the GCF of 60525 and 60540?

We will first find the prime factorization of 60525 and 60540. After we will calculate the factors of 60525 and 60540 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 60540

Prime factors of 60540 are 2, 3, 5, 1009. Prime factorization of 60540 in exponential form is:

60540 = 2² × 3¹ × 5¹ × 1009¹

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 60540

List of positive integer factors of 60540 that divides 60525 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1009, 2018, 3027, 4036, 5045, 6054, 10090, 12108, 15135, 20180, 30270

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60525 and 60540. The biggest common factor number is the GCF number.
So the greatest common factor 60525 and 60540 is 15.

Also check out the Least Common Multiple of 60525 and 60540