What is the Greatest Common Factor of 2991 and 3006?

Greatest common factor (GCF) of 2991 and 3006 is 3.

GCF(2991,3006) = 3

We will now calculate the prime factors of 2991 and 3006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2991 and 3006.

How to find the GCF of 2991 and 3006?

We will first find the prime factorization of 2991 and 3006. After we will calculate the factors of 2991 and 3006 and find the biggest common factor number .

Step-1: Prime Factorization of 2991

Prime factors of 2991 are 3, 997. Prime factorization of 2991 in exponential form is:

2991 = 3¹ × 997¹

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 2991

List of positive integer factors of 2991 that divides 2991 without a remainder.

1, 3, 997

Step-4: Factors of 3006

List of positive integer factors of 3006 that divides 2991 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 2991 and 3006. The biggest common factor number is the GCF number.
So the greatest common factor 2991 and 3006 is 3.

Also check out the Least Common Multiple of 2991 and 3006