What is the Greatest Common Factor of 60675 and 60684?

Greatest common factor (GCF) of 60675 and 60684 is 3.

GCF(60675,60684) = 3

We will now calculate the prime factors of 60675 and 60684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60675 and 60684.

How to find the GCF of 60675 and 60684?

We will first find the prime factorization of 60675 and 60684. After we will calculate the factors of 60675 and 60684 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 60684

Prime factors of 60684 are 2, 3, 13, 389. Prime factorization of 60684 in exponential form is:

60684 = 2² × 3¹ × 13¹ × 389¹

Step-3: Factors of 60675

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

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

Step-4: Factors of 60684

List of positive integer factors of 60684 that divides 60675 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 389, 778, 1167, 1556, 2334, 4668, 5057, 10114, 15171, 20228, 30342

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60675 and 60684. The biggest common factor number is the GCF number.
So the greatest common factor 60675 and 60684 is 3.

Also check out the Least Common Multiple of 60675 and 60684