What is the Greatest Common Factor of 83680 and 83687?

Greatest common factor (GCF) of 83680 and 83687 is 1.

GCF(83680,83687) = 1

We will now calculate the prime factors of 83680 and 83687, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83680 and 83687.

How to find the GCF of 83680 and 83687?

We will first find the prime factorization of 83680 and 83687. After we will calculate the factors of 83680 and 83687 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 83687

Prime factors of 83687 are 53, 1579. Prime factorization of 83687 in exponential form is:

83687 = 53¹ × 1579¹

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 83687

List of positive integer factors of 83687 that divides 83680 without a remainder.

1, 53, 1579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83680 and 83687. The biggest common factor number is the GCF number.
So the greatest common factor 83680 and 83687 is 1.

Also check out the Least Common Multiple of 83680 and 83687