What is the Greatest Common Factor of 2985 and 2997?

Greatest common factor (GCF) of 2985 and 2997 is 3.

GCF(2985,2997) = 3

We will now calculate the prime factors of 2985 and 2997, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2985 and 2997.

How to find the GCF of 2985 and 2997?

We will first find the prime factorization of 2985 and 2997. After we will calculate the factors of 2985 and 2997 and find the biggest common factor number .

Step-1: Prime Factorization of 2985

Prime factors of 2985 are 3, 5, 199. Prime factorization of 2985 in exponential form is:

2985 = 3¹ × 5¹ × 199¹

Step-2: Prime Factorization of 2997

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

2997 = 3⁴ × 37¹

Step-3: Factors of 2985

List of positive integer factors of 2985 that divides 2985 without a remainder.

1, 3, 5, 15, 199, 597, 995

Step-4: Factors of 2997

List of positive integer factors of 2997 that divides 2985 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2985 and 2997. The biggest common factor number is the GCF number.
So the greatest common factor 2985 and 2997 is 3.

Also check out the Least Common Multiple of 2985 and 2997