What is the Greatest Common Factor of 2997 and 3003?

Greatest common factor (GCF) of 2997 and 3003 is 3.

GCF(2997,3003) = 3

We will now calculate the prime factors of 2997 and 3003, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2997 and 3003.

How to find the GCF of 2997 and 3003?

We will first find the prime factorization of 2997 and 3003. After we will calculate the factors of 2997 and 3003 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 3003

Prime factors of 3003 are 3, 7, 11, 13. Prime factorization of 3003 in exponential form is:

3003 = 3¹ × 7¹ × 11¹ × 13¹

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 3003

List of positive integer factors of 3003 that divides 2997 without a remainder.

1, 3, 7, 11, 13, 21, 33, 39, 77, 91, 143, 231, 273, 429, 1001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2997 and 3003. The biggest common factor number is the GCF number.
So the greatest common factor 2997 and 3003 is 3.

Also check out the Least Common Multiple of 2997 and 3003