Greatest Common Factor of 2955 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 2955, 2961 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2955 and 2961 is 3.

GCF(2955,2961) = 3

GCF of 2955 and 2961

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

GCF of:
and

Greatest Common Factor of 2955 and 2961

GCF of 2955 and 2961 is 3

Prime Factorization of 2955


3 2955
5 985
197 197
1

Prime factors of 2955 are 3,5,197. Prime factorization of 2955 in exponential form is:

2955 = 31×51×1971

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

∴ So by taking common prime factors GCF of 2955 and 2961 is 3

Greatest Common Factor of 2955 and 2961 by matching factors method

Factors of 2955

List of positive integer factors of 2955 that divides 2955 without a remainder.

1,3,5,15,197,591,985,2955

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 2955 and 2961. The biggest common factor number is the GCF number.
So the greatest common factor 2955 and 2961 is 3.

Also check out the Least Common Multiple of 2955 and 2961

Properties of GCF 2955 and 2961

(i) The GCF of 2955 and 2961 is associative

GCF of 2955 and 2961 = GCF of 2961 and 2955

Related Greatest Common Factor of 2955

Related Greatest Common Factor of 2961

Frequently Asked Questions on GCF of 2955 and 2961

1. What is the GCF of 2955 and 2961?

Answer: GCF of 2955 and 2961 is 3.

2. What are the Factors of 2955?

Answer: Factors of 2955 are 1, 3, 5, 15, 197, 591, 985, 2955. There are 8 integers that are factors of 2955. The greatest factor of 2955 is 2955.

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 2955 and 2961?

Answer:

Greatest Common Factor of 2955 and 2961 = 3

Step 1: Find the prime factorization of 2955

2955 = 3 x 5 x 197

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 = 3

Step 4: Therefore, the greatest common factor of 2955 and 2961 is 3