What is the Greatest Common Factor of 60684 and 60689?

Greatest common factor (GCF) of 60684 and 60689 is 1.

GCF(60684,60689) = 1

We will now calculate the prime factors of 60684 and 60689, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60684 and 60689.

How to find the GCF of 60684 and 60689?

We will first find the prime factorization of 60684 and 60689. After we will calculate the factors of 60684 and 60689 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 60689

Prime factors of 60689 are 60689. Prime factorization of 60689 in exponential form is:

60689 = 60689¹

Step-3: Factors of 60684

List of positive integer factors of 60684 that divides 60684 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

Step-4: Factors of 60689

List of positive integer factors of 60689 that divides 60684 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60684 and 60689. The biggest common factor number is the GCF number.
So the greatest common factor 60684 and 60689 is 1.

Also check out the Least Common Multiple of 60684 and 60689