What is the Greatest Common Factor of 85642 and 85657?

Greatest common factor (GCF) of 85642 and 85657 is 1.

GCF(85642,85657) = 1

We will now calculate the prime factors of 85642 and 85657, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85642 and 85657.

How to find the GCF of 85642 and 85657?

We will first find the prime factorization of 85642 and 85657. After we will calculate the factors of 85642 and 85657 and find the biggest common factor number .

Step-1: Prime Factorization of 85642

Prime factors of 85642 are 2, 42821. Prime factorization of 85642 in exponential form is:

85642 = 2¹ × 42821¹

Step-2: 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-3: Factors of 85642

List of positive integer factors of 85642 that divides 85642 without a remainder.

1, 2, 42821

Step-4: Factors of 85657

List of positive integer factors of 85657 that divides 85642 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85642 and 85657. The biggest common factor number is the GCF number.
So the greatest common factor 85642 and 85657 is 1.

Also check out the Least Common Multiple of 85642 and 85657