Greatest Common Factor of 2961 and 2967

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 2961, 2967 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2961 and 2967 is 3.

GCF(2961,2967) = 3

GCF of 2961 and 2967

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

GCF of:
and

Greatest Common Factor of 2961 and 2967

GCF of 2961 and 2967 is 3

Prime Factorization of 2961


3 2961
3 987
7 329
47 47
1

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

2961 = 32×71×471

Prime Factorization of 2967


3 2967
23 989
43 43
1

Prime factors of 2967 are 3,23,43. Prime factorization of 2967 in exponential form is:

2967 = 31×231×431

∴ So by taking common prime factors GCF of 2961 and 2967 is 3

Greatest Common Factor of 2961 and 2967 by matching factors method

Factors of 2961

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

1,3,7,9,21,47,63,141,329,423,987,2961

Factors of 2967

List of positive integer factors of 2967 that divides 2967 without a remainder.

1,3,23,43,69,129,989,2967

Greatest Common Factor

We found the factors and prime factorization of 2961 and 2967. The biggest common factor number is the GCF number.
So the greatest common factor 2961 and 2967 is 3.

Also check out the Least Common Multiple of 2961 and 2967

Properties of GCF 2961 and 2967

(i) The GCF of 2961 and 2967 is associative

GCF of 2961 and 2967 = GCF of 2967 and 2961

Related Greatest Common Factor of 2961

Related Greatest Common Factor of 2967

Frequently Asked Questions on GCF of 2961 and 2967

1. What is the GCF of 2961 and 2967?

Answer: GCF of 2961 and 2967 is 3.

2. What are the Factors of 2961?

Answer: Factors of 2961 are 1, 3, 7, 9, 21, 47, 63, 141, 329, 423, 987, 2961. There are 12 integers that are factors of 2961. The greatest factor of 2961 is 2961.

3. What are the Factors of 2967?

Answer: Factors of 2967 are 1, 3, 23, 43, 69, 129, 989, 2967. There are 8 integers that are factors of 2967. The greatest factor of 2967 is 2967.

4. How to Find the GCF of 2961 and 2967?

Answer:

Greatest Common Factor of 2961 and 2967 = 3

Step 1: Find the prime factorization of 2961

2961 = 3 x 3 x 7 x 47

Step 2: Find the prime factorization of 2967

2967 = 3 x 23 x 43

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

GCF = 3

Step 4: Therefore, the greatest common factor of 2961 and 2967 is 3