Greatest Common Factor of 2961 and 2965

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, 2965 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2961 and 2965 is 1.

GCF(2961,2965) = 1

GCF of 2961 and 2965

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

GCF of:
and

Greatest Common Factor of 2961 and 2965

GCF of 2961 and 2965 is 1

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 2965


5 2965
593 593
1

Prime factors of 2965 are 5,593. Prime factorization of 2965 in exponential form is:

2965 = 51×5931

∴ So by taking common prime factors GCF of 2961 and 2965 is 1

Greatest Common Factor of 2961 and 2965 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 2965

List of positive integer factors of 2965 that divides 2965 without a remainder.

1,5,593,2965

Greatest Common Factor

We found the factors and prime factorization of 2961 and 2965. The biggest common factor number is the GCF number.
So the greatest common factor 2961 and 2965 is 1.

Also check out the Least Common Multiple of 2961 and 2965

Properties of GCF 2961 and 2965

(i) The GCF of 2961 and 2965 is associative

GCF of 2961 and 2965 = GCF of 2965 and 2961

Related Greatest Common Factor of 2961

Related Greatest Common Factor of 2965

Frequently Asked Questions on GCF of 2961 and 2965

1. What is the GCF of 2961 and 2965?

Answer: GCF of 2961 and 2965 is 1.

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 2965?

Answer: Factors of 2965 are 1, 5, 593, 2965. There are 4 integers that are factors of 2965. The greatest factor of 2965 is 2965.

4. How to Find the GCF of 2961 and 2965?

Answer:

Greatest Common Factor of 2961 and 2965 = 1

Step 1: Find the prime factorization of 2961

2961 = 3 x 3 x 7 x 47

Step 2: Find the prime factorization of 2965

2965 = 5 x 593

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 2961 and 2965 is 1