What is the Greatest Common Factor of 86300 and 86315?

Greatest common factor (GCF) of 86300 and 86315 is 5.

GCF(86300,86315) = 5

We will now calculate the prime factors of 86300 and 86315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86300 and 86315.

How to find the GCF of 86300 and 86315?

We will first find the prime factorization of 86300 and 86315. After we will calculate the factors of 86300 and 86315 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 86315

Prime factors of 86315 are 5, 61, 283. Prime factorization of 86315 in exponential form is:

86315 = 5¹ × 61¹ × 283¹

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 86315

List of positive integer factors of 86315 that divides 86300 without a remainder.

1, 5, 61, 283, 305, 1415, 17263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86300 and 86315. The biggest common factor number is the GCF number.
So the greatest common factor 86300 and 86315 is 5.

Also check out the Least Common Multiple of 86300 and 86315