What is the Greatest Common Factor of 60645 and 60660?

Greatest common factor (GCF) of 60645 and 60660 is 15.

GCF(60645,60660) = 15

We will now calculate the prime factors of 60645 and 60660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60645 and 60660.

How to find the GCF of 60645 and 60660?

We will first find the prime factorization of 60645 and 60660. After we will calculate the factors of 60645 and 60660 and find the biggest common factor number .

Step-1: Prime Factorization of 60645

Prime factors of 60645 are 3, 5, 13, 311. Prime factorization of 60645 in exponential form is:

60645 = 3¹ × 5¹ × 13¹ × 311¹

Step-2: 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-3: Factors of 60645

List of positive integer factors of 60645 that divides 60645 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 311, 933, 1555, 4043, 4665, 12129, 20215

Step-4: Factors of 60660

List of positive integer factors of 60660 that divides 60645 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60645 and 60660. The biggest common factor number is the GCF number.
So the greatest common factor 60645 and 60660 is 15.

Also check out the Least Common Multiple of 60645 and 60660