Greatest Common Factor of 2944 and 2952

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 2944, 2952 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2944 and 2952 is 8.

GCF(2944,2952) = 8

GCF of 2944 and 2952

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

GCF of:
and

Greatest Common Factor of 2944 and 2952

GCF of 2944 and 2952 is 8

Prime Factorization of 2944


2 2944
2 1472
2 736
2 368
2 184
2 92
2 46
23 23
1

Prime factors of 2944 are 2,23. Prime factorization of 2944 in exponential form is:

2944 = 27×231

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

∴ So by taking common prime factors GCF of 2944 and 2952 is 8

Greatest Common Factor of 2944 and 2952 by matching factors method

Factors of 2944

List of positive integer factors of 2944 that divides 2944 without a remainder.

1,2,4,8,16,23,32,46,64,92,128,184,368,736,1472,2944

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

Greatest Common Factor

We found the factors and prime factorization of 2944 and 2952. The biggest common factor number is the GCF number.
So the greatest common factor 2944 and 2952 is 8.

Also check out the Least Common Multiple of 2944 and 2952

Properties of GCF 2944 and 2952

(i) The GCF of 2944 and 2952 is associative

GCF of 2944 and 2952 = GCF of 2952 and 2944

Related Greatest Common Factor of 2944

Related Greatest Common Factor of 2952

Frequently Asked Questions on GCF of 2944 and 2952

1. What is the GCF of 2944 and 2952?

Answer: GCF of 2944 and 2952 is 8.

2. What are the Factors of 2944?

Answer: Factors of 2944 are 1, 2, 4, 8, 16, 23, 32, 46, 64, 92, 128, 184, 368, 736, 1472, 2944. There are 16 integers that are factors of 2944. The greatest factor of 2944 is 2944.

3. 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.

4. How to Find the GCF of 2944 and 2952?

Answer:

Greatest Common Factor of 2944 and 2952 = 8

Step 1: Find the prime factorization of 2944

2944 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 23

Step 2: Find the prime factorization of 2952

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

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 2944 and 2952 is 8