Greatest Common Factor of 2971 and 2977

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 2971, 2977 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2971 and 2977 is 1.

GCF(2971,2977) = 1

GCF of 2971 and 2977

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 2971 and 2977

GCF of 2971 and 2977 is 1

Prime Factorization of 2971


2971 2971
1

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

2971 = 29711

Prime Factorization of 2977


13 2977
229 229
1

Prime factors of 2977 are 13.Prime factorization of 2977 in exponential form is:

2977 = 131×2291

∴ So by taking common prime factors GCF of 2971 and 2977 is 1

Greatest Common Factor of 2971 and 2977 by matching factors method

Factors of 2971

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

1,2971

Factors of 2977

List of positive integer factors of 2977 that divides 2977 without a remainder.

1,13,229,2977

Greatest Common Factor

We found the factors and prime factorization of 2971 and 2977. The biggest common factor number is the GCF number.
So the greatest common factor 2971 and 2977 is 1.

Also check out the Least Common Multiple of 2971 and 2977

Properties of GCF 2971 and 2977

(i) The GCF of 2971 and 2977 is associative

GCF of 2971 and 2977 = GCF of 2977 and 2971

Related Greatest Common Factor of 2971

Related Greatest Common Factor of 2977

Frequently Asked Questions on GCF of 2971 and 2977

1. What is the GCF of 2971 and 2977?

Answer: GCF of 2971 and 2977 is 1.

2. What are the Factors of 2971?

Answer: Factors of 2971 are 1, 2971. There are 2 integers that are factors of 2971. The greatest factor of 2971 is 2971.

3. What are the Factors of 2977?

Answer: Factors of 2977 are 1, 13, 229, 2977. There are 4 integers that are factors of 2977. The greatest factor of 2977 is 2977.

4. How to Find the GCF of 2971 and 2977?

Answer:

Greatest Common Factor of 2971 and 2977 = 1

Step 1: Find the prime factorization of 2971

2971 = 2971

Step 2: Find the prime factorization of 2977

2977 = 13 x 229

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 2971 and 2977 is 1