What is the Greatest Common Factor of 85854 and 85860?

Greatest common factor (GCF) of 85854 and 85860 is 6.

GCF(85854,85860) = 6

We will now calculate the prime factors of 85854 and 85860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85854 and 85860.

How to find the GCF of 85854 and 85860?

We will first find the prime factorization of 85854 and 85860. After we will calculate the factors of 85854 and 85860 and find the biggest common factor number .

Step-1: Prime Factorization of 85854

Prime factors of 85854 are 2, 3, 41, 349. Prime factorization of 85854 in exponential form is:

85854 = 2¹ × 3¹ × 41¹ × 349¹

Step-2: 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-3: Factors of 85854

List of positive integer factors of 85854 that divides 85854 without a remainder.

1, 2, 3, 6, 41, 82, 123, 246, 349, 698, 1047, 2094, 14309, 28618, 42927

Step-4: Factors of 85860

List of positive integer factors of 85860 that divides 85854 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85854 and 85860. The biggest common factor number is the GCF number.
So the greatest common factor 85854 and 85860 is 6.

Also check out the Least Common Multiple of 85854 and 85860