What is the Greatest Common Factor of 83665 and 83680?

Greatest common factor (GCF) of 83665 and 83680 is 5.

GCF(83665,83680) = 5

We will now calculate the prime factors of 83665 and 83680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83665 and 83680.

How to find the GCF of 83665 and 83680?

We will first find the prime factorization of 83665 and 83680. After we will calculate the factors of 83665 and 83680 and find the biggest common factor number .

Step-1: Prime Factorization of 83665

Prime factors of 83665 are 5, 29, 577. Prime factorization of 83665 in exponential form is:

83665 = 5¹ × 29¹ × 577¹

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 83665

List of positive integer factors of 83665 that divides 83665 without a remainder.

1, 5, 29, 145, 577, 2885, 16733

Step-4: Factors of 83680

List of positive integer factors of 83680 that divides 83665 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 83665 and 83680. The biggest common factor number is the GCF number.
So the greatest common factor 83665 and 83680 is 5.

Also check out the Least Common Multiple of 83665 and 83680