What is the Greatest Common Factor of 60868 and 60872?

Greatest common factor (GCF) of 60868 and 60872 is 4.

GCF(60868,60872) = 4

We will now calculate the prime factors of 60868 and 60872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60868 and 60872.

How to find the GCF of 60868 and 60872?

We will first find the prime factorization of 60868 and 60872. After we will calculate the factors of 60868 and 60872 and find the biggest common factor number .

Step-1: Prime Factorization of 60868

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

60868 = 2² × 15217¹

Step-2: Prime Factorization of 60872

Prime factors of 60872 are 2, 7, 1087. Prime factorization of 60872 in exponential form is:

60872 = 2³ × 7¹ × 1087¹

Step-3: Factors of 60868

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

1, 2, 4, 15217, 30434

Step-4: Factors of 60872

List of positive integer factors of 60872 that divides 60868 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1087, 2174, 4348, 7609, 8696, 15218, 30436

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60868 and 60872. The biggest common factor number is the GCF number.
So the greatest common factor 60868 and 60872 is 4.

Also check out the Least Common Multiple of 60868 and 60872