What is the Greatest Common Factor of 60864 and 60870?

Greatest common factor (GCF) of 60864 and 60870 is 6.

GCF(60864,60870) = 6

We will now calculate the prime factors of 60864 and 60870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60864 and 60870.

How to find the GCF of 60864 and 60870?

We will first find the prime factorization of 60864 and 60870. After we will calculate the factors of 60864 and 60870 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 60870

Prime factors of 60870 are 2, 3, 5, 2029. Prime factorization of 60870 in exponential form is:

60870 = 2¹ × 3¹ × 5¹ × 2029¹

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 60870

List of positive integer factors of 60870 that divides 60864 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2029, 4058, 6087, 10145, 12174, 20290, 30435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60864 and 60870. The biggest common factor number is the GCF number.
So the greatest common factor 60864 and 60870 is 6.

Also check out the Least Common Multiple of 60864 and 60870