What is the Greatest Common Factor of 1002 and 1017?

Greatest common factor (GCF) of 1002 and 1017 is 3.

GCF(1002,1017) = 3

We will now calculate the prime factors of 1002 and 1017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1002 and 1017.

How to find the GCF of 1002 and 1017?

We will first find the prime factorization of 1002 and 1017. After we will calculate the factors of 1002 and 1017 and find the biggest common factor number .

Step-1: Prime Factorization of 1002

Prime factors of 1002 are 2, 3, 167. Prime factorization of 1002 in exponential form is:

1002 = 2¹ × 3¹ × 167¹

Step-2: Prime Factorization of 1017

Prime factors of 1017 are 3, 113. Prime factorization of 1017 in exponential form is:

1017 = 3² × 113¹

Step-3: Factors of 1002

List of positive integer factors of 1002 that divides 1002 without a remainder.

1, 2, 3, 6, 167, 334, 501

Step-4: Factors of 1017

List of positive integer factors of 1017 that divides 1002 without a remainder.

1, 3, 9, 113, 339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1002 and 1017. The biggest common factor number is the GCF number.
So the greatest common factor 1002 and 1017 is 3.

Also check out the Least Common Multiple of 1002 and 1017