What is the Greatest Common Factor of 2944 and 2958?

Greatest common factor (GCF) of 2944 and 2958 is 2.

GCF(2944,2958) = 2

We will now calculate the prime factors of 2944 and 2958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2944 and 2958.

How to find the GCF of 2944 and 2958?

We will first find the prime factorization of 2944 and 2958. After we will calculate the factors of 2944 and 2958 and find the biggest common factor number .

Step-1: Prime Factorization of 2944

Prime factors of 2944 are 2, 23. Prime factorization of 2944 in exponential form is:

2944 = 2⁷ × 23¹

Step-2: Prime Factorization of 2958

Prime factors of 2958 are 2, 3, 17, 29. Prime factorization of 2958 in exponential form is:

2958 = 2¹ × 3¹ × 17¹ × 29¹

Step-3: Factors of 2944

List of positive integer factors of 2944 that divides 2944 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 64, 92, 128, 184, 368, 736, 1472

Step-4: Factors of 2958

List of positive integer factors of 2958 that divides 2944 without a remainder.

1, 2, 3, 6, 17, 29, 34, 51, 58, 87, 102, 174, 493, 986, 1479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2944 and 2958. The biggest common factor number is the GCF number.
So the greatest common factor 2944 and 2958 is 2.

Also check out the Least Common Multiple of 2944 and 2958