What is the Greatest Common Factor of 8007 and 8014?

Greatest common factor (GCF) of 8007 and 8014 is 1.

GCF(8007,8014) = 1

We will now calculate the prime factors of 8007 and 8014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8007 and 8014.

How to find the GCF of 8007 and 8014?

We will first find the prime factorization of 8007 and 8014. After we will calculate the factors of 8007 and 8014 and find the biggest common factor number .

Step-1: Prime Factorization of 8007

Prime factors of 8007 are 3, 17, 157. Prime factorization of 8007 in exponential form is:

8007 = 3¹ × 17¹ × 157¹

Step-2: Prime Factorization of 8014

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

8014 = 2¹ × 4007¹

Step-3: Factors of 8007

List of positive integer factors of 8007 that divides 8007 without a remainder.

1, 3, 17, 51, 157, 471, 2669

Step-4: Factors of 8014

List of positive integer factors of 8014 that divides 8007 without a remainder.

1, 2, 4007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8007 and 8014. The biggest common factor number is the GCF number.
So the greatest common factor 8007 and 8014 is 1.

Also check out the Least Common Multiple of 8007 and 8014