What is the Greatest Common Factor of 84628 and 84646?

Greatest common factor (GCF) of 84628 and 84646 is 2.

GCF(84628,84646) = 2

We will now calculate the prime factors of 84628 and 84646, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84628 and 84646.

How to find the GCF of 84628 and 84646?

We will first find the prime factorization of 84628 and 84646. After we will calculate the factors of 84628 and 84646 and find the biggest common factor number .

Step-1: Prime Factorization of 84628

Prime factors of 84628 are 2, 21157. Prime factorization of 84628 in exponential form is:

84628 = 2² × 21157¹

Step-2: Prime Factorization of 84646

Prime factors of 84646 are 2, 42323. Prime factorization of 84646 in exponential form is:

84646 = 2¹ × 42323¹

Step-3: Factors of 84628

List of positive integer factors of 84628 that divides 84628 without a remainder.

1, 2, 4, 21157, 42314

Step-4: Factors of 84646

List of positive integer factors of 84646 that divides 84628 without a remainder.

1, 2, 42323

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84628 and 84646. The biggest common factor number is the GCF number.
So the greatest common factor 84628 and 84646 is 2.

Also check out the Least Common Multiple of 84628 and 84646