Greatest Common Factor of 5904 and 5908

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 5904, 5908 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5904 and 5908 is 4.

GCF(5904,5908) = 4

GCF of 5904 and 5908

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

GCF of:
and

Greatest Common Factor of 5904 and 5908

GCF of 5904 and 5908 is 4

Prime Factorization of 5904


2 5904
2 2952
2 1476
2 738
3 369
3 123
41 41
1

Prime factors of 5904 are 2,3,41. Prime factorization of 5904 in exponential form is:

5904 = 24×32×411

Prime Factorization of 5908


2 5908
2 2954
7 1477
211 211
1

Prime factors of 5908 are 2,7,211. Prime factorization of 5908 in exponential form is:

5908 = 22×71×2111

∴ So by taking common prime factors GCF of 5904 and 5908 is 4

Greatest Common Factor of 5904 and 5908 by matching factors method

Factors of 5904

List of positive integer factors of 5904 that divides 5904 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,41,48,72,82,123,144,164,246,328,369,492,656,738,984,1476,1968,2952,5904

Factors of 5908

List of positive integer factors of 5908 that divides 5908 without a remainder.

1,2,4,7,14,28,211,422,844,1477,2954,5908

Greatest Common Factor

We found the factors and prime factorization of 5904 and 5908. The biggest common factor number is the GCF number.
So the greatest common factor 5904 and 5908 is 4.

Also check out the Least Common Multiple of 5904 and 5908

Properties of GCF 5904 and 5908

(i) The GCF of 5904 and 5908 is associative

GCF of 5904 and 5908 = GCF of 5908 and 5904

Related Greatest Common Factor of 5904

Related Greatest Common Factor of 5908

Frequently Asked Questions on GCF of 5904 and 5908

1. What is the GCF of 5904 and 5908?

Answer: GCF of 5904 and 5908 is 4.

2. What are the Factors of 5904?

Answer: Factors of 5904 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 41, 48, 72, 82, 123, 144, 164, 246, 328, 369, 492, 656, 738, 984, 1476, 1968, 2952, 5904. There are 30 integers that are factors of 5904. The greatest factor of 5904 is 5904.

3. What are the Factors of 5908?

Answer: Factors of 5908 are 1, 2, 4, 7, 14, 28, 211, 422, 844, 1477, 2954, 5908. There are 12 integers that are factors of 5908. The greatest factor of 5908 is 5908.

4. How to Find the GCF of 5904 and 5908?

Answer:

Greatest Common Factor of 5904 and 5908 = 4

Step 1: Find the prime factorization of 5904

5904 = 2 x 2 x 2 x 2 x 3 x 3 x 41

Step 2: Find the prime factorization of 5908

5908 = 2 x 2 x 7 x 211

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 5904 and 5908 is 4