What is the Greatest Common Factor of 2940 and 2953?

Greatest common factor (GCF) of 2940 and 2953 is 1.

GCF(2940,2953) = 1

We will now calculate the prime factors of 2940 and 2953, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2940 and 2953.

How to find the GCF of 2940 and 2953?

We will first find the prime factorization of 2940 and 2953. After we will calculate the factors of 2940 and 2953 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 2953

Prime factors of 2953 are 2953. Prime factorization of 2953 in exponential form is:

2953 = 2953¹

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 2953

List of positive integer factors of 2953 that divides 2940 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2940 and 2953. The biggest common factor number is the GCF number.
So the greatest common factor 2940 and 2953 is 1.

Also check out the Least Common Multiple of 2940 and 2953