What is the Greatest Common Factor of 8014 and 8021?

Greatest common factor (GCF) of 8014 and 8021 is 1.

GCF(8014,8021) = 1

We will now calculate the prime factors of 8014 and 8021, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8014 and 8021.

How to find the GCF of 8014 and 8021?

We will first find the prime factorization of 8014 and 8021. After we will calculate the factors of 8014 and 8021 and find the biggest common factor number .

Step-1: Prime Factorization of 8014

Prime factors of 8014 are 2, 4007. Prime factorization of 8014 in exponential form is:

8014 = 2¹ × 4007¹

Step-2: Prime Factorization of 8021

Prime factors of 8021 are 13, 617. Prime factorization of 8021 in exponential form is:

8021 = 13¹ × 617¹

Step-3: Factors of 8014

List of positive integer factors of 8014 that divides 8014 without a remainder.

1, 2, 4007

Step-4: Factors of 8021

List of positive integer factors of 8021 that divides 8014 without a remainder.

1, 13, 617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8014 and 8021. The biggest common factor number is the GCF number.
So the greatest common factor 8014 and 8021 is 1.

Also check out the Least Common Multiple of 8014 and 8021