What is the Greatest Common Factor of 86630 and 86636?

Greatest common factor (GCF) of 86630 and 86636 is 2.

GCF(86630,86636) = 2

We will now calculate the prime factors of 86630 and 86636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86630 and 86636.

How to find the GCF of 86630 and 86636?

We will first find the prime factorization of 86630 and 86636. After we will calculate the factors of 86630 and 86636 and find the biggest common factor number .

Step-1: Prime Factorization of 86630

Prime factors of 86630 are 2, 5, 8663. Prime factorization of 86630 in exponential form is:

86630 = 2¹ × 5¹ × 8663¹

Step-2: 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-3: Factors of 86630

List of positive integer factors of 86630 that divides 86630 without a remainder.

1, 2, 5, 10, 8663, 17326, 43315

Step-4: Factors of 86636

List of positive integer factors of 86636 that divides 86630 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86630 and 86636. The biggest common factor number is the GCF number.
So the greatest common factor 86630 and 86636 is 2.

Also check out the Least Common Multiple of 86630 and 86636