What is the Greatest Common Factor of 2970 and 2985?

Greatest common factor (GCF) of 2970 and 2985 is 15.

GCF(2970,2985) = 15

We will now calculate the prime factors of 2970 and 2985, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2970 and 2985.

How to find the GCF of 2970 and 2985?

We will first find the prime factorization of 2970 and 2985. After we will calculate the factors of 2970 and 2985 and find the biggest common factor number .

Step-1: Prime Factorization of 2970

Prime factors of 2970 are 2, 3, 5, 11. Prime factorization of 2970 in exponential form is:

2970 = 2¹ × 3³ × 5¹ × 11¹

Step-2: 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-3: Factors of 2970

List of positive integer factors of 2970 that divides 2970 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 27, 30, 33, 45, 54, 55, 66, 90, 99, 110, 135, 165, 198, 270, 297, 330, 495, 594, 990, 1485

Step-4: Factors of 2985

List of positive integer factors of 2985 that divides 2970 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2970 and 2985. The biggest common factor number is the GCF number.
So the greatest common factor 2970 and 2985 is 15.

Also check out the Least Common Multiple of 2970 and 2985