What is the Greatest Common Factor of 3002 and 3006?

Greatest common factor (GCF) of 3002 and 3006 is 2.

GCF(3002,3006) = 2

We will now calculate the prime factors of 3002 and 3006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3002 and 3006.

How to find the GCF of 3002 and 3006?

We will first find the prime factorization of 3002 and 3006. After we will calculate the factors of 3002 and 3006 and find the biggest common factor number .

Step-1: Prime Factorization of 3002

Prime factors of 3002 are 2, 19, 79. Prime factorization of 3002 in exponential form is:

3002 = 2¹ × 19¹ × 79¹

Step-2: Prime Factorization of 3006

Prime factors of 3006 are 2, 3, 167. Prime factorization of 3006 in exponential form is:

3006 = 2¹ × 3² × 167¹

Step-3: Factors of 3002

List of positive integer factors of 3002 that divides 3002 without a remainder.

1, 2, 19, 38, 79, 158, 1501

Step-4: Factors of 3006

List of positive integer factors of 3006 that divides 3002 without a remainder.

1, 2, 3, 6, 9, 18, 167, 334, 501, 1002, 1503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3002 and 3006. The biggest common factor number is the GCF number.
So the greatest common factor 3002 and 3006 is 2.

Also check out the Least Common Multiple of 3002 and 3006