What is the Greatest Common Factor of 86630 and 86634?

Greatest common factor (GCF) of 86630 and 86634 is 2.

GCF(86630,86634) = 2

We will now calculate the prime factors of 86630 and 86634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86630 and 86634.

How to find the GCF of 86630 and 86634?

We will first find the prime factorization of 86630 and 86634. After we will calculate the factors of 86630 and 86634 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 86634

Prime factors of 86634 are 2, 3, 4813. Prime factorization of 86634 in exponential form is:

86634 = 2¹ × 3² × 4813¹

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 86634

List of positive integer factors of 86634 that divides 86630 without a remainder.

1, 2, 3, 6, 9, 18, 4813, 9626, 14439, 28878, 43317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86630 and 86634. The biggest common factor number is the GCF number.
So the greatest common factor 86630 and 86634 is 2.

Also check out the Least Common Multiple of 86630 and 86634