What is the Greatest Common Factor of 2940 and 2954?

Greatest common factor (GCF) of 2940 and 2954 is 14.

GCF(2940,2954) = 14

We will now calculate the prime factors of 2940 and 2954, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2940 and 2954.

How to find the GCF of 2940 and 2954?

We will first find the prime factorization of 2940 and 2954. After we will calculate the factors of 2940 and 2954 and find the biggest common factor number .

Step-1: Prime Factorization of 2940

Prime factors of 2940 are 2, 3, 5, 7. Prime factorization of 2940 in exponential form is:

2940 = 2² × 3¹ × 5¹ × 7²

Step-2: 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-3: Factors of 2940

List of positive integer factors of 2940 that divides 2940 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 49, 60, 70, 84, 98, 105, 140, 147, 196, 210, 245, 294, 420, 490, 588, 735, 980, 1470

Step-4: Factors of 2954

List of positive integer factors of 2954 that divides 2940 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2940 and 2954. The biggest common factor number is the GCF number.
So the greatest common factor 2940 and 2954 is 14.

Also check out the Least Common Multiple of 2940 and 2954