Greatest Common Factor of 2952 and 2958

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, 2958 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2952 and 2958 is 6.

GCF(2952,2958) = 6

GCF of 2952 and 2958

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

GCF of:
and

Greatest Common Factor of 2952 and 2958

GCF of 2952 and 2958 is 6

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 2958


2 2958
3 1479
17 493
29 29
1

Prime factors of 2958 are 2,3,17,29. Prime factorization of 2958 in exponential form is:

2958 = 21×31×171×291

∴ So by taking common prime factors GCF of 2952 and 2958 is 6

Greatest Common Factor of 2952 and 2958 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 2958

List of positive integer factors of 2958 that divides 2958 without a remainder.

1,2,3,6,17,29,34,51,58,87,102,174,493,986,1479,2958

Greatest Common Factor

We found the factors and prime factorization of 2952 and 2958. The biggest common factor number is the GCF number.
So the greatest common factor 2952 and 2958 is 6.

Also check out the Least Common Multiple of 2952 and 2958

Properties of GCF 2952 and 2958

(i) The GCF of 2952 and 2958 is associative

GCF of 2952 and 2958 = GCF of 2958 and 2952

Related Greatest Common Factor of 2952

Related Greatest Common Factor of 2958

Frequently Asked Questions on GCF of 2952 and 2958

1. What is the GCF of 2952 and 2958?

Answer: GCF of 2952 and 2958 is 6.

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 2958?

Answer: Factors of 2958 are 1, 2, 3, 6, 17, 29, 34, 51, 58, 87, 102, 174, 493, 986, 1479, 2958. There are 16 integers that are factors of 2958. The greatest factor of 2958 is 2958.

4. How to Find the GCF of 2952 and 2958?

Answer:

Greatest Common Factor of 2952 and 2958 = 6

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 2958

2958 = 2 x 3 x 17 x 29

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 2952 and 2958 is 6