What is the Greatest Common Factor of 86672 and 86678?

Greatest common factor (GCF) of 86672 and 86678 is 2.

GCF(86672,86678) = 2

We will now calculate the prime factors of 86672 and 86678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86672 and 86678.

How to find the GCF of 86672 and 86678?

We will first find the prime factorization of 86672 and 86678. After we will calculate the factors of 86672 and 86678 and find the biggest common factor number .

Step-1: Prime Factorization of 86672

Prime factors of 86672 are 2, 5417. Prime factorization of 86672 in exponential form is:

86672 = 2⁴ × 5417¹

Step-2: Prime Factorization of 86678

Prime factors of 86678 are 2, 19, 2281. Prime factorization of 86678 in exponential form is:

86678 = 2¹ × 19¹ × 2281¹

Step-3: Factors of 86672

List of positive integer factors of 86672 that divides 86672 without a remainder.

1, 2, 4, 8, 16, 5417, 10834, 21668, 43336

Step-4: Factors of 86678

List of positive integer factors of 86678 that divides 86672 without a remainder.

1, 2, 19, 38, 2281, 4562, 43339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86672 and 86678. The biggest common factor number is the GCF number.
So the greatest common factor 86672 and 86678 is 2.

Also check out the Least Common Multiple of 86672 and 86678