What is the Greatest Common Factor of 2970 and 2984?

Greatest common factor (GCF) of 2970 and 2984 is 2.

GCF(2970,2984) = 2

We will now calculate the prime factors of 2970 and 2984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2970 and 2984.

How to find the GCF of 2970 and 2984?

We will first find the prime factorization of 2970 and 2984. After we will calculate the factors of 2970 and 2984 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 2984

Prime factors of 2984 are 2, 373. Prime factorization of 2984 in exponential form is:

2984 = 2³ × 373¹

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 2984

List of positive integer factors of 2984 that divides 2970 without a remainder.

1, 2, 4, 8, 373, 746, 1492

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2970 and 2984. The biggest common factor number is the GCF number.
So the greatest common factor 2970 and 2984 is 2.

Also check out the Least Common Multiple of 2970 and 2984