What is the Greatest Common Factor of 2970 and 2990?

Greatest common factor (GCF) of 2970 and 2990 is 10.

GCF(2970,2990) = 10

We will now calculate the prime factors of 2970 and 2990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2970 and 2990.

How to find the GCF of 2970 and 2990?

We will first find the prime factorization of 2970 and 2990. After we will calculate the factors of 2970 and 2990 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 2990

Prime factors of 2990 are 2, 5, 13, 23. Prime factorization of 2990 in exponential form is:

2990 = 2¹ × 5¹ × 13¹ × 23¹

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 2990

List of positive integer factors of 2990 that divides 2970 without a remainder.

1, 2, 5, 10, 13, 23, 26, 46, 65, 115, 130, 230, 299, 598, 1495

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2970 and 2990. The biggest common factor number is the GCF number.
So the greatest common factor 2970 and 2990 is 10.

Also check out the Least Common Multiple of 2970 and 2990