What is the Greatest Common Factor of 85160 and 85170?

Greatest common factor (GCF) of 85160 and 85170 is 10.

GCF(85160,85170) = 10

We will now calculate the prime factors of 85160 and 85170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85160 and 85170.

How to find the GCF of 85160 and 85170?

We will first find the prime factorization of 85160 and 85170. After we will calculate the factors of 85160 and 85170 and find the biggest common factor number .

Step-1: Prime Factorization of 85160

Prime factors of 85160 are 2, 5, 2129. Prime factorization of 85160 in exponential form is:

85160 = 2³ × 5¹ × 2129¹

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 85160

List of positive integer factors of 85160 that divides 85160 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2129, 4258, 8516, 10645, 17032, 21290, 42580

Step-4: Factors of 85170

List of positive integer factors of 85170 that divides 85160 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 85160 and 85170. The biggest common factor number is the GCF number.
So the greatest common factor 85160 and 85170 is 10.

Also check out the Least Common Multiple of 85160 and 85170