What is the Greatest Common Factor of 60872 and 60886?

Greatest common factor (GCF) of 60872 and 60886 is 14.

GCF(60872,60886) = 14

We will now calculate the prime factors of 60872 and 60886, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60872 and 60886.

How to find the GCF of 60872 and 60886?

We will first find the prime factorization of 60872 and 60886. After we will calculate the factors of 60872 and 60886 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 60886

Prime factors of 60886 are 2, 7, 4349. Prime factorization of 60886 in exponential form is:

60886 = 2¹ × 7¹ × 4349¹

Step-3: Factors of 60872

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

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

Step-4: Factors of 60886

List of positive integer factors of 60886 that divides 60872 without a remainder.

1, 2, 7, 14, 4349, 8698, 30443

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60872 and 60886. The biggest common factor number is the GCF number.
So the greatest common factor 60872 and 60886 is 14.

Also check out the Least Common Multiple of 60872 and 60886