What is the Greatest Common Factor of 85690 and 85710?

Greatest common factor (GCF) of 85690 and 85710 is 10.

GCF(85690,85710) = 10

We will now calculate the prime factors of 85690 and 85710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85690 and 85710.

How to find the GCF of 85690 and 85710?

We will first find the prime factorization of 85690 and 85710. After we will calculate the factors of 85690 and 85710 and find the biggest common factor number .

Step-1: Prime Factorization of 85690

Prime factors of 85690 are 2, 5, 11, 19, 41. Prime factorization of 85690 in exponential form is:

85690 = 2¹ × 5¹ × 11¹ × 19¹ × 41¹

Step-2: Prime Factorization of 85710

Prime factors of 85710 are 2, 3, 5, 2857. Prime factorization of 85710 in exponential form is:

85710 = 2¹ × 3¹ × 5¹ × 2857¹

Step-3: Factors of 85690

List of positive integer factors of 85690 that divides 85690 without a remainder.

1, 2, 5, 10, 11, 19, 22, 38, 41, 55, 82, 95, 110, 190, 205, 209, 410, 418, 451, 779, 902, 1045, 1558, 2090, 2255, 3895, 4510, 7790, 8569, 17138, 42845

Step-4: Factors of 85710

List of positive integer factors of 85710 that divides 85690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2857, 5714, 8571, 14285, 17142, 28570, 42855

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85690 and 85710. The biggest common factor number is the GCF number.
So the greatest common factor 85690 and 85710 is 10.

Also check out the Least Common Multiple of 85690 and 85710