What is the Greatest Common Factor of 86636 and 86647?

Greatest common factor (GCF) of 86636 and 86647 is 11.

GCF(86636,86647) = 11

We will now calculate the prime factors of 86636 and 86647, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86636 and 86647.

How to find the GCF of 86636 and 86647?

We will first find the prime factorization of 86636 and 86647. After we will calculate the factors of 86636 and 86647 and find the biggest common factor number .

Step-1: Prime Factorization of 86636

Prime factors of 86636 are 2, 11, 179. Prime factorization of 86636 in exponential form is:

86636 = 2² × 11² × 179¹

Step-2: Prime Factorization of 86647

Prime factors of 86647 are 11, 7877. Prime factorization of 86647 in exponential form is:

86647 = 11¹ × 7877¹

Step-3: Factors of 86636

List of positive integer factors of 86636 that divides 86636 without a remainder.

1, 2, 4, 11, 22, 44, 121, 179, 242, 358, 484, 716, 1969, 3938, 7876, 21659, 43318

Step-4: Factors of 86647

List of positive integer factors of 86647 that divides 86636 without a remainder.

1, 11, 7877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86636 and 86647. The biggest common factor number is the GCF number.
So the greatest common factor 86636 and 86647 is 11.

Also check out the Least Common Multiple of 86636 and 86647