What is the Greatest Common Factor of 60864 and 60868?

Greatest common factor (GCF) of 60864 and 60868 is 4.

GCF(60864,60868) = 4

We will now calculate the prime factors of 60864 and 60868, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60864 and 60868.

How to find the GCF of 60864 and 60868?

We will first find the prime factorization of 60864 and 60868. After we will calculate the factors of 60864 and 60868 and find the biggest common factor number .

Step-1: Prime Factorization of 60864

Prime factors of 60864 are 2, 3, 317. Prime factorization of 60864 in exponential form is:

60864 = 2⁶ × 3¹ × 317¹

Step-2: Prime Factorization of 60868

Prime factors of 60868 are 2, 15217. Prime factorization of 60868 in exponential form is:

60868 = 2² × 15217¹

Step-3: Factors of 60864

List of positive integer factors of 60864 that divides 60864 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 317, 634, 951, 1268, 1902, 2536, 3804, 5072, 7608, 10144, 15216, 20288, 30432

Step-4: Factors of 60868

List of positive integer factors of 60868 that divides 60864 without a remainder.

1, 2, 4, 15217, 30434

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60864 and 60868. The biggest common factor number is the GCF number.
So the greatest common factor 60864 and 60868 is 4.

Also check out the Least Common Multiple of 60864 and 60868