What is the Greatest Common Factor of 2947 and 2961?

Greatest common factor (GCF) of 2947 and 2961 is 7.

GCF(2947,2961) = 7

We will now calculate the prime factors of 2947 and 2961, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2947 and 2961.

How to find the GCF of 2947 and 2961?

We will first find the prime factorization of 2947 and 2961. After we will calculate the factors of 2947 and 2961 and find the biggest common factor number .

Step-1: Prime Factorization of 2947

Prime factors of 2947 are 7, 421. Prime factorization of 2947 in exponential form is:

2947 = 7¹ × 421¹

Step-2: 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-3: Factors of 2947

List of positive integer factors of 2947 that divides 2947 without a remainder.

1, 7, 421

Step-4: Factors of 2961

List of positive integer factors of 2961 that divides 2947 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2947 and 2961. The biggest common factor number is the GCF number.
So the greatest common factor 2947 and 2961 is 7.

Also check out the Least Common Multiple of 2947 and 2961