What is the Greatest Common Factor of 2970 and 2986?

Greatest common factor (GCF) of 2970 and 2986 is 2.

GCF(2970,2986) = 2

We will now calculate the prime factors of 2970 and 2986, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2970 and 2986.

How to find the GCF of 2970 and 2986?

We will first find the prime factorization of 2970 and 2986. After we will calculate the factors of 2970 and 2986 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 2986

Prime factors of 2986 are 2, 1493. Prime factorization of 2986 in exponential form is:

2986 = 2¹ × 1493¹

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 2986

List of positive integer factors of 2986 that divides 2970 without a remainder.

1, 2, 1493

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2970 and 2986. The biggest common factor number is the GCF number.
So the greatest common factor 2970 and 2986 is 2.

Also check out the Least Common Multiple of 2970 and 2986