What is the Greatest Common Factor of 2949 and 2961?

Greatest common factor (GCF) of 2949 and 2961 is 3.

GCF(2949,2961) = 3

We will now calculate the prime factors of 2949 and 2961, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2949 and 2961.

How to find the GCF of 2949 and 2961?

We will first find the prime factorization of 2949 and 2961. After we will calculate the factors of 2949 and 2961 and find the biggest common factor number .

Step-1: Prime Factorization of 2949

Prime factors of 2949 are 3, 983. Prime factorization of 2949 in exponential form is:

2949 = 3¹ × 983¹

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 2949

List of positive integer factors of 2949 that divides 2949 without a remainder.

1, 3, 983

Step-4: Factors of 2961

List of positive integer factors of 2961 that divides 2949 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 2949 and 2961. The biggest common factor number is the GCF number.
So the greatest common factor 2949 and 2961 is 3.

Also check out the Least Common Multiple of 2949 and 2961