What is the Greatest Common Factor of 86008 and 86021?

Greatest common factor (GCF) of 86008 and 86021 is 13.

GCF(86008,86021) = 13

We will now calculate the prime factors of 86008 and 86021, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86008 and 86021.

How to find the GCF of 86008 and 86021?

We will first find the prime factorization of 86008 and 86021. After we will calculate the factors of 86008 and 86021 and find the biggest common factor number .

Step-1: Prime Factorization of 86008

Prime factors of 86008 are 2, 13, 827. Prime factorization of 86008 in exponential form is:

86008 = 2³ × 13¹ × 827¹

Step-2: Prime Factorization of 86021

Prime factors of 86021 are 13, 509. Prime factorization of 86021 in exponential form is:

86021 = 13² × 509¹

Step-3: Factors of 86008

List of positive integer factors of 86008 that divides 86008 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 827, 1654, 3308, 6616, 10751, 21502, 43004

Step-4: Factors of 86021

List of positive integer factors of 86021 that divides 86008 without a remainder.

1, 13, 169, 509, 6617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86008 and 86021. The biggest common factor number is the GCF number.
So the greatest common factor 86008 and 86021 is 13.

Also check out the Least Common Multiple of 86008 and 86021