What is the Greatest Common Factor of 8007 and 8017?

Greatest common factor (GCF) of 8007 and 8017 is 1.

GCF(8007,8017) = 1

We will now calculate the prime factors of 8007 and 8017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8007 and 8017.

How to find the GCF of 8007 and 8017?

We will first find the prime factorization of 8007 and 8017. After we will calculate the factors of 8007 and 8017 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 8017

Prime factors of 8017 are 8017. Prime factorization of 8017 in exponential form is:

8017 = 8017¹

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 8017

List of positive integer factors of 8017 that divides 8007 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8007 and 8017. The biggest common factor number is the GCF number.
So the greatest common factor 8007 and 8017 is 1.

Also check out the Least Common Multiple of 8007 and 8017