What is the Greatest Common Factor of 85788 and 85806?

Greatest common factor (GCF) of 85788 and 85806 is 18.

GCF(85788,85806) = 18

We will now calculate the prime factors of 85788 and 85806, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85788 and 85806.

How to find the GCF of 85788 and 85806?

We will first find the prime factorization of 85788 and 85806. After we will calculate the factors of 85788 and 85806 and find the biggest common factor number .

Step-1: Prime Factorization of 85788

Prime factors of 85788 are 2, 3, 2383. Prime factorization of 85788 in exponential form is:

85788 = 2² × 3² × 2383¹

Step-2: Prime Factorization of 85806

Prime factors of 85806 are 2, 3, 7, 227. Prime factorization of 85806 in exponential form is:

85806 = 2¹ × 3³ × 7¹ × 227¹

Step-3: Factors of 85788

List of positive integer factors of 85788 that divides 85788 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2383, 4766, 7149, 9532, 14298, 21447, 28596, 42894

Step-4: Factors of 85806

List of positive integer factors of 85806 that divides 85788 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 227, 378, 454, 681, 1362, 1589, 2043, 3178, 4086, 4767, 6129, 9534, 12258, 14301, 28602, 42903

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85788 and 85806. The biggest common factor number is the GCF number.
So the greatest common factor 85788 and 85806 is 18.

Also check out the Least Common Multiple of 85788 and 85806