What is the Greatest Common Factor of 83680 and 83689?

Greatest common factor (GCF) of 83680 and 83689 is 1.

GCF(83680,83689) = 1

We will now calculate the prime factors of 83680 and 83689, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83680 and 83689.

How to find the GCF of 83680 and 83689?

We will first find the prime factorization of 83680 and 83689. After we will calculate the factors of 83680 and 83689 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 83689

Prime factors of 83689 are 83689. Prime factorization of 83689 in exponential form is:

83689 = 83689¹

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 83689

List of positive integer factors of 83689 that divides 83680 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83680 and 83689. The biggest common factor number is the GCF number.
So the greatest common factor 83680 and 83689 is 1.

Also check out the Least Common Multiple of 83680 and 83689