What is the Greatest Common Factor of 60864 and 60880?

Greatest common factor (GCF) of 60864 and 60880 is 16.

GCF(60864,60880) = 16

We will now calculate the prime factors of 60864 and 60880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60864 and 60880.

How to find the GCF of 60864 and 60880?

We will first find the prime factorization of 60864 and 60880. After we will calculate the factors of 60864 and 60880 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 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 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 60880

List of positive integer factors of 60880 that divides 60864 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 60864 and 60880. The biggest common factor number is the GCF number.
So the greatest common factor 60864 and 60880 is 16.

Also check out the Least Common Multiple of 60864 and 60880