What is the Greatest Common Factor of 83675 and 83680?

Greatest common factor (GCF) of 83675 and 83680 is 5.

GCF(83675,83680) = 5

We will now calculate the prime factors of 83675 and 83680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83675 and 83680.

How to find the GCF of 83675 and 83680?

We will first find the prime factorization of 83675 and 83680. After we will calculate the factors of 83675 and 83680 and find the biggest common factor number .

Step-1: Prime Factorization of 83675

Prime factors of 83675 are 5, 3347. Prime factorization of 83675 in exponential form is:

83675 = 5² × 3347¹

Step-2: Prime Factorization of 83680

Prime factors of 83680 are 2, 5, 523. Prime factorization of 83680 in exponential form is:

83680 = 2⁵ × 5¹ × 523¹

Step-3: Factors of 83675

List of positive integer factors of 83675 that divides 83675 without a remainder.

1, 5, 25, 3347, 16735

Step-4: Factors of 83680

List of positive integer factors of 83680 that divides 83675 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 523, 1046, 2092, 2615, 4184, 5230, 8368, 10460, 16736, 20920, 41840

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83675 and 83680. The biggest common factor number is the GCF number.
So the greatest common factor 83675 and 83680 is 5.

Also check out the Least Common Multiple of 83675 and 83680