What is the Greatest Common Factor of 8014 and 8032?

Greatest common factor (GCF) of 8014 and 8032 is 2.

GCF(8014,8032) = 2

We will now calculate the prime factors of 8014 and 8032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8014 and 8032.

How to find the GCF of 8014 and 8032?

We will first find the prime factorization of 8014 and 8032. After we will calculate the factors of 8014 and 8032 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 8032

Prime factors of 8032 are 2, 251. Prime factorization of 8032 in exponential form is:

8032 = 2⁵ × 251¹

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 8032

List of positive integer factors of 8032 that divides 8014 without a remainder.

1, 2, 4, 8, 16, 32, 251, 502, 1004, 2008, 4016

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8014 and 8032. The biggest common factor number is the GCF number.
So the greatest common factor 8014 and 8032 is 2.

Also check out the Least Common Multiple of 8014 and 8032