What is the Greatest Common Factor of 83680 and 83684?

Greatest common factor (GCF) of 83680 and 83684 is 4.

GCF(83680,83684) = 4

We will now calculate the prime factors of 83680 and 83684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83680 and 83684.

How to find the GCF of 83680 and 83684?

We will first find the prime factorization of 83680 and 83684. After we will calculate the factors of 83680 and 83684 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 83684

Prime factors of 83684 are 2, 20921. Prime factorization of 83684 in exponential form is:

83684 = 2² × 20921¹

Step-3: Factors of 83680

List of positive integer factors of 83680 that divides 83680 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

Step-4: Factors of 83684

List of positive integer factors of 83684 that divides 83680 without a remainder.

1, 2, 4, 20921, 41842

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83680 and 83684. The biggest common factor number is the GCF number.
So the greatest common factor 83680 and 83684 is 4.

Also check out the Least Common Multiple of 83680 and 83684