What is the Greatest Common Factor of 84628 and 84640?

Greatest common factor (GCF) of 84628 and 84640 is 4.

GCF(84628,84640) = 4

We will now calculate the prime factors of 84628 and 84640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84628 and 84640.

How to find the GCF of 84628 and 84640?

We will first find the prime factorization of 84628 and 84640. After we will calculate the factors of 84628 and 84640 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 84640

Prime factors of 84640 are 2, 5, 23. Prime factorization of 84640 in exponential form is:

84640 = 2⁵ × 5¹ × 23²

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 84640

List of positive integer factors of 84640 that divides 84628 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 23, 32, 40, 46, 80, 92, 115, 160, 184, 230, 368, 460, 529, 736, 920, 1058, 1840, 2116, 2645, 3680, 4232, 5290, 8464, 10580, 16928, 21160, 42320

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84628 and 84640. The biggest common factor number is the GCF number.
So the greatest common factor 84628 and 84640 is 4.

Also check out the Least Common Multiple of 84628 and 84640