What is the Greatest Common Factor of 85164 and 85170?

Greatest common factor (GCF) of 85164 and 85170 is 6.

GCF(85164,85170) = 6

We will now calculate the prime factors of 85164 and 85170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85164 and 85170.

How to find the GCF of 85164 and 85170?

We will first find the prime factorization of 85164 and 85170. After we will calculate the factors of 85164 and 85170 and find the biggest common factor number .

Step-1: Prime Factorization of 85164

Prime factors of 85164 are 2, 3, 47, 151. Prime factorization of 85164 in exponential form is:

85164 = 2² × 3¹ × 47¹ × 151¹

Step-2: 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-3: Factors of 85164

List of positive integer factors of 85164 that divides 85164 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 151, 188, 282, 302, 453, 564, 604, 906, 1812, 7097, 14194, 21291, 28388, 42582

Step-4: Factors of 85170

List of positive integer factors of 85170 that divides 85164 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85164 and 85170. The biggest common factor number is the GCF number.
So the greatest common factor 85164 and 85170 is 6.

Also check out the Least Common Multiple of 85164 and 85170