What is the Greatest Common Factor of 85860 and 85870?

Greatest common factor (GCF) of 85860 and 85870 is 10.

GCF(85860,85870) = 10

We will now calculate the prime factors of 85860 and 85870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85860 and 85870.

How to find the GCF of 85860 and 85870?

We will first find the prime factorization of 85860 and 85870. After we will calculate the factors of 85860 and 85870 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 85870

Prime factors of 85870 are 2, 5, 31, 277. Prime factorization of 85870 in exponential form is:

85870 = 2¹ × 5¹ × 31¹ × 277¹

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 85870

List of positive integer factors of 85870 that divides 85860 without a remainder.

1, 2, 5, 10, 31, 62, 155, 277, 310, 554, 1385, 2770, 8587, 17174, 42935

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85860 and 85870. The biggest common factor number is the GCF number.
So the greatest common factor 85860 and 85870 is 10.

Also check out the Least Common Multiple of 85860 and 85870