What is the Greatest Common Factor of 86300 and 86316?

Greatest common factor (GCF) of 86300 and 86316 is 4.

GCF(86300,86316) = 4

We will now calculate the prime factors of 86300 and 86316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86300 and 86316.

How to find the GCF of 86300 and 86316?

We will first find the prime factorization of 86300 and 86316. After we will calculate the factors of 86300 and 86316 and find the biggest common factor number .

Step-1: Prime Factorization of 86300

Prime factors of 86300 are 2, 5, 863. Prime factorization of 86300 in exponential form is:

86300 = 2² × 5² × 863¹

Step-2: Prime Factorization of 86316

Prime factors of 86316 are 2, 3, 7193. Prime factorization of 86316 in exponential form is:

86316 = 2² × 3¹ × 7193¹

Step-3: Factors of 86300

List of positive integer factors of 86300 that divides 86300 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 863, 1726, 3452, 4315, 8630, 17260, 21575, 43150

Step-4: Factors of 86316

List of positive integer factors of 86316 that divides 86300 without a remainder.

1, 2, 3, 4, 6, 12, 7193, 14386, 21579, 28772, 43158

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86300 and 86316. The biggest common factor number is the GCF number.
So the greatest common factor 86300 and 86316 is 4.

Also check out the Least Common Multiple of 86300 and 86316