What is the Greatest Common Factor of 2961 and 2975?

Greatest common factor (GCF) of 2961 and 2975 is 7.

GCF(2961,2975) = 7

We will now calculate the prime factors of 2961 and 2975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2961 and 2975.

How to find the GCF of 2961 and 2975?

We will first find the prime factorization of 2961 and 2975. After we will calculate the factors of 2961 and 2975 and find the biggest common factor number .

Step-1: Prime Factorization of 2961

Prime factors of 2961 are 3, 7, 47. Prime factorization of 2961 in exponential form is:

2961 = 3² × 7¹ × 47¹

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 2961

List of positive integer factors of 2961 that divides 2961 without a remainder.

1, 3, 7, 9, 21, 47, 63, 141, 329, 423, 987

Step-4: Factors of 2975

List of positive integer factors of 2975 that divides 2961 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 2961 and 2975. The biggest common factor number is the GCF number.
So the greatest common factor 2961 and 2975 is 7.

Also check out the Least Common Multiple of 2961 and 2975