What is the Greatest Common Factor of 86624 and 86630?

Greatest common factor (GCF) of 86624 and 86630 is 2.

GCF(86624,86630) = 2

We will now calculate the prime factors of 86624 and 86630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86624 and 86630.

How to find the GCF of 86624 and 86630?

We will first find the prime factorization of 86624 and 86630. After we will calculate the factors of 86624 and 86630 and find the biggest common factor number .

Step-1: Prime Factorization of 86624

Prime factors of 86624 are 2, 2707. Prime factorization of 86624 in exponential form is:

86624 = 2⁵ × 2707¹

Step-2: 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-3: Factors of 86624

List of positive integer factors of 86624 that divides 86624 without a remainder.

1, 2, 4, 8, 16, 32, 2707, 5414, 10828, 21656, 43312

Step-4: Factors of 86630

List of positive integer factors of 86630 that divides 86624 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86624 and 86630. The biggest common factor number is the GCF number.
So the greatest common factor 86624 and 86630 is 2.

Also check out the Least Common Multiple of 86624 and 86630