What is the Greatest Common Factor of 86624 and 86642?

Greatest common factor (GCF) of 86624 and 86642 is 2.

GCF(86624,86642) = 2

We will now calculate the prime factors of 86624 and 86642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86624 and 86642.

How to find the GCF of 86624 and 86642?

We will first find the prime factorization of 86624 and 86642. After we will calculate the factors of 86624 and 86642 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 86642

Prime factors of 86642 are 2, 43321. Prime factorization of 86642 in exponential form is:

86642 = 2¹ × 43321¹

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 86642

List of positive integer factors of 86642 that divides 86624 without a remainder.

1, 2, 43321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86624 and 86642. The biggest common factor number is the GCF number.
So the greatest common factor 86624 and 86642 is 2.

Also check out the Least Common Multiple of 86624 and 86642