What is the Greatest Common Factor of 2941 and 2958?

Greatest common factor (GCF) of 2941 and 2958 is 17.

GCF(2941,2958) = 17

We will now calculate the prime factors of 2941 and 2958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2941 and 2958.

How to find the GCF of 2941 and 2958?

We will first find the prime factorization of 2941 and 2958. After we will calculate the factors of 2941 and 2958 and find the biggest common factor number .

Step-1: Prime Factorization of 2941

Prime factors of 2941 are 17, 173. Prime factorization of 2941 in exponential form is:

2941 = 17¹ × 173¹

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 2941

List of positive integer factors of 2941 that divides 2941 without a remainder.

1, 17, 173

Step-4: Factors of 2958

List of positive integer factors of 2958 that divides 2941 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 2941 and 2958. The biggest common factor number is the GCF number.
So the greatest common factor 2941 and 2958 is 17.

Also check out the Least Common Multiple of 2941 and 2958