What is the Greatest Common Factor of 85670 and 85690?

Greatest common factor (GCF) of 85670 and 85690 is 10.

GCF(85670,85690) = 10

We will now calculate the prime factors of 85670 and 85690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85670 and 85690.

How to find the GCF of 85670 and 85690?

We will first find the prime factorization of 85670 and 85690. After we will calculate the factors of 85670 and 85690 and find the biggest common factor number .

Step-1: Prime Factorization of 85670

Prime factors of 85670 are 2, 5, 13, 659. Prime factorization of 85670 in exponential form is:

85670 = 2¹ × 5¹ × 13¹ × 659¹

Step-2: 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-3: Factors of 85670

List of positive integer factors of 85670 that divides 85670 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 659, 1318, 3295, 6590, 8567, 17134, 42835

Step-4: Factors of 85690

List of positive integer factors of 85690 that divides 85670 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85670 and 85690. The biggest common factor number is the GCF number.
So the greatest common factor 85670 and 85690 is 10.

Also check out the Least Common Multiple of 85670 and 85690