What is the Greatest Common Factor of 2954 and 2970?

Greatest common factor (GCF) of 2954 and 2970 is 2.

GCF(2954,2970) = 2

We will now calculate the prime factors of 2954 and 2970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2954 and 2970.

How to find the GCF of 2954 and 2970?

We will first find the prime factorization of 2954 and 2970. After we will calculate the factors of 2954 and 2970 and find the biggest common factor number .

Step-1: Prime Factorization of 2954

Prime factors of 2954 are 2, 7, 211. Prime factorization of 2954 in exponential form is:

2954 = 2¹ × 7¹ × 211¹

Step-2: 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-3: Factors of 2954

List of positive integer factors of 2954 that divides 2954 without a remainder.

1, 2, 7, 14, 211, 422, 1477

Step-4: Factors of 2970

List of positive integer factors of 2970 that divides 2954 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2954 and 2970. The biggest common factor number is the GCF number.
So the greatest common factor 2954 and 2970 is 2.

Also check out the Least Common Multiple of 2954 and 2970