What is the Greatest Common Factor of 86006 and 86014?

Greatest common factor (GCF) of 86006 and 86014 is 2.

GCF(86006,86014) = 2

We will now calculate the prime factors of 86006 and 86014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86006 and 86014.

How to find the GCF of 86006 and 86014?

We will first find the prime factorization of 86006 and 86014. After we will calculate the factors of 86006 and 86014 and find the biggest common factor number .

Step-1: Prime Factorization of 86006

Prime factors of 86006 are 2, 43003. Prime factorization of 86006 in exponential form is:

86006 = 2¹ × 43003¹

Step-2: Prime Factorization of 86014

Prime factors of 86014 are 2, 29, 1483. Prime factorization of 86014 in exponential form is:

86014 = 2¹ × 29¹ × 1483¹

Step-3: Factors of 86006

List of positive integer factors of 86006 that divides 86006 without a remainder.

1, 2, 43003

Step-4: Factors of 86014

List of positive integer factors of 86014 that divides 86006 without a remainder.

1, 2, 29, 58, 1483, 2966, 43007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86006 and 86014. The biggest common factor number is the GCF number.
So the greatest common factor 86006 and 86014 is 2.

Also check out the Least Common Multiple of 86006 and 86014