What is the Greatest Common Factor of 84640 and 84659?

Greatest common factor (GCF) of 84640 and 84659 is 1.

GCF(84640,84659) = 1

We will now calculate the prime factors of 84640 and 84659, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84640 and 84659.

How to find the GCF of 84640 and 84659?

We will first find the prime factorization of 84640 and 84659. After we will calculate the factors of 84640 and 84659 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 84659

Prime factors of 84659 are 84659. Prime factorization of 84659 in exponential form is:

84659 = 84659¹

Step-3: Factors of 84640

List of positive integer factors of 84640 that divides 84640 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

Step-4: Factors of 84659

List of positive integer factors of 84659 that divides 84640 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84640 and 84659. The biggest common factor number is the GCF number.
So the greatest common factor 84640 and 84659 is 1.

Also check out the Least Common Multiple of 84640 and 84659