What is the Greatest Common Factor of 2960 and 2971?

Greatest common factor (GCF) of 2960 and 2971 is 1.

GCF(2960,2971) = 1

We will now calculate the prime factors of 2960 and 2971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2960 and 2971.

How to find the GCF of 2960 and 2971?

We will first find the prime factorization of 2960 and 2971. After we will calculate the factors of 2960 and 2971 and find the biggest common factor number .

Step-1: Prime Factorization of 2960

Prime factors of 2960 are 2, 5, 37. Prime factorization of 2960 in exponential form is:

2960 = 2⁴ × 5¹ × 37¹

Step-2: Prime Factorization of 2971

Prime factors of 2971 are 2971. Prime factorization of 2971 in exponential form is:

2971 = 2971¹

Step-3: Factors of 2960

List of positive integer factors of 2960 that divides 2960 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 37, 40, 74, 80, 148, 185, 296, 370, 592, 740, 1480

Step-4: Factors of 2971

List of positive integer factors of 2971 that divides 2960 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2960 and 2971. The biggest common factor number is the GCF number.
So the greatest common factor 2960 and 2971 is 1.

Also check out the Least Common Multiple of 2960 and 2971