Greatest Common Factor of 5899 and 5904

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 5899, 5904 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5899 and 5904 is 1.

GCF(5899,5904) = 1

GCF of 5899 and 5904

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

GCF of:
and

Greatest Common Factor of 5899 and 5904

GCF of 5899 and 5904 is 1

Prime Factorization of 5899


17 5899
347 347
1

Prime factors of 5899 are 17,347. Prime factorization of 5899 in exponential form is:

5899 = 171×3471

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

∴ So by taking common prime factors GCF of 5899 and 5904 is 1

Greatest Common Factor of 5899 and 5904 by matching factors method

Factors of 5899

List of positive integer factors of 5899 that divides 5899 without a remainder.

1,17,347,5899

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

Greatest Common Factor

We found the factors and prime factorization of 5899 and 5904. The biggest common factor number is the GCF number.
So the greatest common factor 5899 and 5904 is 1.

Also check out the Least Common Multiple of 5899 and 5904

Properties of GCF 5899 and 5904

(i) The GCF of 5899 and 5904 is associative

GCF of 5899 and 5904 = GCF of 5904 and 5899

Related Greatest Common Factor of 5899

Related Greatest Common Factor of 5904

Frequently Asked Questions on GCF of 5899 and 5904

1. What is the GCF of 5899 and 5904?

Answer: GCF of 5899 and 5904 is 1.

2. What are the Factors of 5899?

Answer: Factors of 5899 are 1, 17, 347, 5899. There are 4 integers that are factors of 5899. The greatest factor of 5899 is 5899.

3. 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.

4. How to Find the GCF of 5899 and 5904?

Answer:

Greatest Common Factor of 5899 and 5904 = 1

Step 1: Find the prime factorization of 5899

5899 = 17 x 347

Step 2: Find the prime factorization of 5904

5904 = 2 x 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 = = 1

Step 4: Therefore, the greatest common factor of 5899 and 5904 is 1