What is the Greatest Common Factor of 85170 and 85180?

Greatest common factor (GCF) of 85170 and 85180 is 10.

GCF(85170,85180) = 10

We will now calculate the prime factors of 85170 and 85180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85170 and 85180.

How to find the GCF of 85170 and 85180?

We will first find the prime factorization of 85170 and 85180. After we will calculate the factors of 85170 and 85180 and find the biggest common factor number .

Step-1: Prime Factorization of 85170

Prime factors of 85170 are 2, 3, 5, 17, 167. Prime factorization of 85170 in exponential form is:

85170 = 2¹ × 3¹ × 5¹ × 17¹ × 167¹

Step-2: Prime Factorization of 85180

Prime factors of 85180 are 2, 5, 4259. Prime factorization of 85180 in exponential form is:

85180 = 2² × 5¹ × 4259¹

Step-3: Factors of 85170

List of positive integer factors of 85170 that divides 85170 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 167, 170, 255, 334, 501, 510, 835, 1002, 1670, 2505, 2839, 5010, 5678, 8517, 14195, 17034, 28390, 42585

Step-4: Factors of 85180

List of positive integer factors of 85180 that divides 85170 without a remainder.

1, 2, 4, 5, 10, 20, 4259, 8518, 17036, 21295, 42590

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85170 and 85180. The biggest common factor number is the GCF number.
So the greatest common factor 85170 and 85180 is 10.

Also check out the Least Common Multiple of 85170 and 85180