What is the Greatest Common Factor of 85860 and 85875?

Greatest common factor (GCF) of 85860 and 85875 is 15.

GCF(85860,85875) = 15

We will now calculate the prime factors of 85860 and 85875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85860 and 85875.

How to find the GCF of 85860 and 85875?

We will first find the prime factorization of 85860 and 85875. After we will calculate the factors of 85860 and 85875 and find the biggest common factor number .

Step-1: Prime Factorization of 85860

Prime factors of 85860 are 2, 3, 5, 53. Prime factorization of 85860 in exponential form is:

85860 = 2² × 3⁴ × 5¹ × 53¹

Step-2: Prime Factorization of 85875

Prime factors of 85875 are 3, 5, 229. Prime factorization of 85875 in exponential form is:

85875 = 3¹ × 5³ × 229¹

Step-3: Factors of 85860

List of positive integer factors of 85860 that divides 85860 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 53, 54, 60, 81, 90, 106, 108, 135, 159, 162, 180, 212, 265, 270, 318, 324, 405, 477, 530, 540, 636, 795, 810, 954, 1060, 1431, 1590, 1620, 1908, 2385, 2862, 3180, 4293, 4770, 5724, 7155, 8586, 9540, 14310, 17172, 21465, 28620, 42930

Step-4: Factors of 85875

List of positive integer factors of 85875 that divides 85860 without a remainder.

1, 3, 5, 15, 25, 75, 125, 229, 375, 687, 1145, 3435, 5725, 17175, 28625

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85860 and 85875. The biggest common factor number is the GCF number.
So the greatest common factor 85860 and 85875 is 15.

Also check out the Least Common Multiple of 85860 and 85875