Greatest Common Factor of 2952 and 2955

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 2952, 2955 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2952 and 2955 is 3.

GCF(2952,2955) = 3

GCF of 2952 and 2955

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

GCF of:
and

Greatest Common Factor of 2952 and 2955

GCF of 2952 and 2955 is 3

Prime Factorization of 2952


2 2952
2 1476
2 738
3 369
3 123
41 41
1

Prime factors of 2952 are 2,3,41. Prime factorization of 2952 in exponential form is:

2952 = 23×32×411

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

∴ So by taking common prime factors GCF of 2952 and 2955 is 3

Greatest Common Factor of 2952 and 2955 by matching factors method

Factors of 2952

List of positive integer factors of 2952 that divides 2952 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,41,72,82,123,164,246,328,369,492,738,984,1476,2952

Factors of 2955

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

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

Greatest Common Factor

We found the factors and prime factorization of 2952 and 2955. The biggest common factor number is the GCF number.
So the greatest common factor 2952 and 2955 is 3.

Also check out the Least Common Multiple of 2952 and 2955

Properties of GCF 2952 and 2955

(i) The GCF of 2952 and 2955 is associative

GCF of 2952 and 2955 = GCF of 2955 and 2952

Related Greatest Common Factor of 2952

Related Greatest Common Factor of 2955

Frequently Asked Questions on GCF of 2952 and 2955

1. What is the GCF of 2952 and 2955?

Answer: GCF of 2952 and 2955 is 3.

2. What are the Factors of 2952?

Answer: Factors of 2952 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 41, 72, 82, 123, 164, 246, 328, 369, 492, 738, 984, 1476, 2952. There are 24 integers that are factors of 2952. The greatest factor of 2952 is 2952.

3. 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.

4. How to Find the GCF of 2952 and 2955?

Answer:

Greatest Common Factor of 2952 and 2955 = 3

Step 1: Find the prime factorization of 2952

2952 = 2 x 2 x 2 x 3 x 3 x 41

Step 2: Find the prime factorization of 2955

2955 = 3 x 5 x 197

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 2952 and 2955 is 3