What is the Greatest Common Factor of 85642 and 85646?

Greatest common factor (GCF) of 85642 and 85646 is 2.

GCF(85642,85646) = 2

We will now calculate the prime factors of 85642 and 85646, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85642 and 85646.

How to find the GCF of 85642 and 85646?

We will first find the prime factorization of 85642 and 85646. After we will calculate the factors of 85642 and 85646 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 85646

Prime factors of 85646 are 2, 11, 17, 229. Prime factorization of 85646 in exponential form is:

85646 = 2¹ × 11¹ × 17¹ × 229¹

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 85646

List of positive integer factors of 85646 that divides 85642 without a remainder.

1, 2, 11, 17, 22, 34, 187, 229, 374, 458, 2519, 3893, 5038, 7786, 42823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85642 and 85646. The biggest common factor number is the GCF number.
So the greatest common factor 85642 and 85646 is 2.

Also check out the Least Common Multiple of 85642 and 85646