What is the Greatest Common Factor of 85122 and 85128?

Greatest common factor (GCF) of 85122 and 85128 is 6.

GCF(85122,85128) = 6

We will now calculate the prime factors of 85122 and 85128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85122 and 85128.

How to find the GCF of 85122 and 85128?

We will first find the prime factorization of 85122 and 85128. After we will calculate the factors of 85122 and 85128 and find the biggest common factor number .

Step-1: Prime Factorization of 85122

Prime factors of 85122 are 2, 3, 4729. Prime factorization of 85122 in exponential form is:

85122 = 2¹ × 3² × 4729¹

Step-2: Prime Factorization of 85128

Prime factors of 85128 are 2, 3, 3547. Prime factorization of 85128 in exponential form is:

85128 = 2³ × 3¹ × 3547¹

Step-3: Factors of 85122

List of positive integer factors of 85122 that divides 85122 without a remainder.

1, 2, 3, 6, 9, 18, 4729, 9458, 14187, 28374, 42561

Step-4: Factors of 85128

List of positive integer factors of 85128 that divides 85122 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3547, 7094, 10641, 14188, 21282, 28376, 42564

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85122 and 85128. The biggest common factor number is the GCF number.
So the greatest common factor 85122 and 85128 is 6.

Also check out the Least Common Multiple of 85122 and 85128