What is the Greatest Common Factor of 2940 and 2951?

Greatest common factor (GCF) of 2940 and 2951 is 1.

GCF(2940,2951) = 1

We will now calculate the prime factors of 2940 and 2951, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2940 and 2951.

How to find the GCF of 2940 and 2951?

We will first find the prime factorization of 2940 and 2951. After we will calculate the factors of 2940 and 2951 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 2951

Prime factors of 2951 are 13, 227. Prime factorization of 2951 in exponential form is:

2951 = 13¹ × 227¹

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 2951

List of positive integer factors of 2951 that divides 2940 without a remainder.

1, 13, 227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2940 and 2951. The biggest common factor number is the GCF number.
So the greatest common factor 2940 and 2951 is 1.

Also check out the Least Common Multiple of 2940 and 2951