What is the Greatest Common Factor of 85172 and 85188?

Greatest common factor (GCF) of 85172 and 85188 is 4.

GCF(85172,85188) = 4

We will now calculate the prime factors of 85172 and 85188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85172 and 85188.

How to find the GCF of 85172 and 85188?

We will first find the prime factorization of 85172 and 85188. After we will calculate the factors of 85172 and 85188 and find the biggest common factor number .

Step-1: Prime Factorization of 85172

Prime factors of 85172 are 2, 107, 199. Prime factorization of 85172 in exponential form is:

85172 = 2² × 107¹ × 199¹

Step-2: Prime Factorization of 85188

Prime factors of 85188 are 2, 3, 31, 229. Prime factorization of 85188 in exponential form is:

85188 = 2² × 3¹ × 31¹ × 229¹

Step-3: Factors of 85172

List of positive integer factors of 85172 that divides 85172 without a remainder.

1, 2, 4, 107, 199, 214, 398, 428, 796, 21293, 42586

Step-4: Factors of 85188

List of positive integer factors of 85188 that divides 85172 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 229, 372, 458, 687, 916, 1374, 2748, 7099, 14198, 21297, 28396, 42594

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85172 and 85188. The biggest common factor number is the GCF number.
So the greatest common factor 85172 and 85188 is 4.

Also check out the Least Common Multiple of 85172 and 85188