What is the Greatest Common Factor of 2997 and 3009?

Greatest common factor (GCF) of 2997 and 3009 is 3.

GCF(2997,3009) = 3

We will now calculate the prime factors of 2997 and 3009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2997 and 3009.

How to find the GCF of 2997 and 3009?

We will first find the prime factorization of 2997 and 3009. After we will calculate the factors of 2997 and 3009 and find the biggest common factor number .

Step-1: Prime Factorization of 2997

Prime factors of 2997 are 3, 37. Prime factorization of 2997 in exponential form is:

2997 = 3⁴ × 37¹

Step-2: Prime Factorization of 3009

Prime factors of 3009 are 3, 17, 59. Prime factorization of 3009 in exponential form is:

3009 = 3¹ × 17¹ × 59¹

Step-3: Factors of 2997

List of positive integer factors of 2997 that divides 2997 without a remainder.

1, 3, 9, 27, 37, 81, 111, 333, 999

Step-4: Factors of 3009

List of positive integer factors of 3009 that divides 2997 without a remainder.

1, 3, 17, 51, 59, 177, 1003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2997 and 3009. The biggest common factor number is the GCF number.
So the greatest common factor 2997 and 3009 is 3.

Also check out the Least Common Multiple of 2997 and 3009