What is the Greatest Common Factor of 60660 and 60675?

Greatest common factor (GCF) of 60660 and 60675 is 15.

GCF(60660,60675) = 15

We will now calculate the prime factors of 60660 and 60675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60660 and 60675.

How to find the GCF of 60660 and 60675?

We will first find the prime factorization of 60660 and 60675. After we will calculate the factors of 60660 and 60675 and find the biggest common factor number .

Step-1: Prime Factorization of 60660

Prime factors of 60660 are 2, 3, 5, 337. Prime factorization of 60660 in exponential form is:

60660 = 2² × 3² × 5¹ × 337¹

Step-2: Prime Factorization of 60675

Prime factors of 60675 are 3, 5, 809. Prime factorization of 60675 in exponential form is:

60675 = 3¹ × 5² × 809¹

Step-3: Factors of 60660

List of positive integer factors of 60660 that divides 60660 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 337, 674, 1011, 1348, 1685, 2022, 3033, 3370, 4044, 5055, 6066, 6740, 10110, 12132, 15165, 20220, 30330

Step-4: Factors of 60675

List of positive integer factors of 60675 that divides 60660 without a remainder.

1, 3, 5, 15, 25, 75, 809, 2427, 4045, 12135, 20225

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60660 and 60675. The biggest common factor number is the GCF number.
So the greatest common factor 60660 and 60675 is 15.

Also check out the Least Common Multiple of 60660 and 60675