What is the Greatest Common Factor of 86499 and 86506?

Greatest common factor (GCF) of 86499 and 86506 is 7.

GCF(86499,86506) = 7

We will now calculate the prime factors of 86499 and 86506, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86499 and 86506.

How to find the GCF of 86499 and 86506?

We will first find the prime factorization of 86499 and 86506. After we will calculate the factors of 86499 and 86506 and find the biggest common factor number .

Step-1: Prime Factorization of 86499

Prime factors of 86499 are 3, 7, 1373. Prime factorization of 86499 in exponential form is:

86499 = 3² × 7¹ × 1373¹

Step-2: Prime Factorization of 86506

Prime factors of 86506 are 2, 7, 37, 167. Prime factorization of 86506 in exponential form is:

86506 = 2¹ × 7¹ × 37¹ × 167¹

Step-3: Factors of 86499

List of positive integer factors of 86499 that divides 86499 without a remainder.

1, 3, 7, 9, 21, 63, 1373, 4119, 9611, 12357, 28833

Step-4: Factors of 86506

List of positive integer factors of 86506 that divides 86499 without a remainder.

1, 2, 7, 14, 37, 74, 167, 259, 334, 518, 1169, 2338, 6179, 12358, 43253

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86499 and 86506. The biggest common factor number is the GCF number.
So the greatest common factor 86499 and 86506 is 7.

Also check out the Least Common Multiple of 86499 and 86506