What is the Greatest Common Factor of 85860 and 85872?

Greatest common factor (GCF) of 85860 and 85872 is 12.

GCF(85860,85872) = 12

We will now calculate the prime factors of 85860 and 85872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85860 and 85872.

How to find the GCF of 85860 and 85872?

We will first find the prime factorization of 85860 and 85872. After we will calculate the factors of 85860 and 85872 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 85872

Prime factors of 85872 are 2, 3, 1789. Prime factorization of 85872 in exponential form is:

85872 = 2⁴ × 3¹ × 1789¹

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 85872

List of positive integer factors of 85872 that divides 85860 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1789, 3578, 5367, 7156, 10734, 14312, 21468, 28624, 42936

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85860 and 85872. The biggest common factor number is the GCF number.
So the greatest common factor 85860 and 85872 is 12.

Also check out the Least Common Multiple of 85860 and 85872