Greatest Common Factor of 2953 and 2961

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 2953, 2961 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2953 and 2961 is 1.

GCF(2953,2961) = 1

GCF of 2953 and 2961

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

GCF of:
and

Greatest Common Factor of 2953 and 2961

GCF of 2953 and 2961 is 1

Prime Factorization of 2953


2953 2953
1

Prime factors of 2953 are 2953. Prime factorization of 2953 in exponential form is:

2953 = 29531

Prime Factorization of 2961


3 2961
3 987
7 329
47 47
1

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

2961 = 32×71×471

∴ So by taking common prime factors GCF of 2953 and 2961 is 1

Greatest Common Factor of 2953 and 2961 by matching factors method

Factors of 2953

List of positive integer factors of 2953 that divides 2953 without a remainder.

1,2953

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

Greatest Common Factor

We found the factors and prime factorization of 2953 and 2961. The biggest common factor number is the GCF number.
So the greatest common factor 2953 and 2961 is 1.

Also check out the Least Common Multiple of 2953 and 2961

Properties of GCF 2953 and 2961

(i) The GCF of 2953 and 2961 is associative

GCF of 2953 and 2961 = GCF of 2961 and 2953

Related Greatest Common Factor of 2953

Related Greatest Common Factor of 2961

Frequently Asked Questions on GCF of 2953 and 2961

1. What is the GCF of 2953 and 2961?

Answer: GCF of 2953 and 2961 is 1.

2. What are the Factors of 2953?

Answer: Factors of 2953 are 1, 2953. There are 2 integers that are factors of 2953. The greatest factor of 2953 is 2953.

3. 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.

4. How to Find the GCF of 2953 and 2961?

Answer:

Greatest Common Factor of 2953 and 2961 = 1

Step 1: Find the prime factorization of 2953

2953 = 2953

Step 2: Find the prime factorization of 2961

2961 = 3 x 3 x 7 x 47

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 2953 and 2961 is 1