What is the Greatest Common Factor of 2958 and 2975?

Greatest common factor (GCF) of 2958 and 2975 is 17.

GCF(2958,2975) = 17

We will now calculate the prime factors of 2958 and 2975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2958 and 2975.

How to find the GCF of 2958 and 2975?

We will first find the prime factorization of 2958 and 2975. After we will calculate the factors of 2958 and 2975 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 2975

Prime factors of 2975 are 5, 7, 17. Prime factorization of 2975 in exponential form is:

2975 = 5² × 7¹ × 17¹

Step-3: Factors of 2958

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

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

Step-4: Factors of 2975

List of positive integer factors of 2975 that divides 2958 without a remainder.

1, 5, 7, 17, 25, 35, 85, 119, 175, 425, 595

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2958 and 2975. The biggest common factor number is the GCF number.
So the greatest common factor 2958 and 2975 is 17.

Also check out the Least Common Multiple of 2958 and 2975