What is the Greatest Common Factor of 85636 and 85642?

Greatest common factor (GCF) of 85636 and 85642 is 2.

GCF(85636,85642) = 2

We will now calculate the prime factors of 85636 and 85642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85636 and 85642.

How to find the GCF of 85636 and 85642?

We will first find the prime factorization of 85636 and 85642. After we will calculate the factors of 85636 and 85642 and find the biggest common factor number .

Step-1: Prime Factorization of 85636

Prime factors of 85636 are 2, 79, 271. Prime factorization of 85636 in exponential form is:

85636 = 2² × 79¹ × 271¹

Step-2: Prime Factorization of 85642

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

85642 = 2¹ × 42821¹

Step-3: Factors of 85636

List of positive integer factors of 85636 that divides 85636 without a remainder.

1, 2, 4, 79, 158, 271, 316, 542, 1084, 21409, 42818

Step-4: Factors of 85642

List of positive integer factors of 85642 that divides 85636 without a remainder.

1, 2, 42821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85636 and 85642. The biggest common factor number is the GCF number.
So the greatest common factor 85636 and 85642 is 2.

Also check out the Least Common Multiple of 85636 and 85642