What is the Greatest Common Factor of 85657 and 85670?

Greatest common factor (GCF) of 85657 and 85670 is 13.

GCF(85657,85670) = 13

We will now calculate the prime factors of 85657 and 85670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85657 and 85670.

How to find the GCF of 85657 and 85670?

We will first find the prime factorization of 85657 and 85670. After we will calculate the factors of 85657 and 85670 and find the biggest common factor number .

Step-1: Prime Factorization of 85657

Prime factors of 85657 are 11, 13, 599. Prime factorization of 85657 in exponential form is:

85657 = 11¹ × 13¹ × 599¹

Step-2: 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-3: Factors of 85657

List of positive integer factors of 85657 that divides 85657 without a remainder.

1, 11, 13, 143, 599, 6589, 7787

Step-4: Factors of 85670

List of positive integer factors of 85670 that divides 85657 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85657 and 85670. The biggest common factor number is the GCF number.
So the greatest common factor 85657 and 85670 is 13.

Also check out the Least Common Multiple of 85657 and 85670