What is the Greatest Common Factor of 60872 and 60880?

Greatest common factor (GCF) of 60872 and 60880 is 8.

GCF(60872,60880) = 8

We will now calculate the prime factors of 60872 and 60880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60872 and 60880.

How to find the GCF of 60872 and 60880?

We will first find the prime factorization of 60872 and 60880. After we will calculate the factors of 60872 and 60880 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 60880

Prime factors of 60880 are 2, 5, 761. Prime factorization of 60880 in exponential form is:

60880 = 2⁴ × 5¹ × 761¹

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 60880

List of positive integer factors of 60880 that divides 60872 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 761, 1522, 3044, 3805, 6088, 7610, 12176, 15220, 30440

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60872 and 60880. The biggest common factor number is the GCF number.
So the greatest common factor 60872 and 60880 is 8.

Also check out the Least Common Multiple of 60872 and 60880