What is the Greatest Common Factor of 2970 and 2988?

Greatest common factor (GCF) of 2970 and 2988 is 18.

GCF(2970,2988) = 18

We will now calculate the prime factors of 2970 and 2988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2970 and 2988.

How to find the GCF of 2970 and 2988?

We will first find the prime factorization of 2970 and 2988. After we will calculate the factors of 2970 and 2988 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 2988

Prime factors of 2988 are 2, 3, 83. Prime factorization of 2988 in exponential form is:

2988 = 2² × 3² × 83¹

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 2988

List of positive integer factors of 2988 that divides 2970 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 83, 166, 249, 332, 498, 747, 996, 1494

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2970 and 2988. The biggest common factor number is the GCF number.
So the greatest common factor 2970 and 2988 is 18.

Also check out the Least Common Multiple of 2970 and 2988