Greatest Common Factor of 5798 and 5802

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 5798, 5802 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5798 and 5802 is 2.

GCF(5798,5802) = 2

GCF of 5798 and 5802

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

GCF of:
and

Greatest Common Factor of 5798 and 5802

GCF of 5798 and 5802 is 2

Prime Factorization of 5798


2 5798
13 2899
223 223
1

Prime factors of 5798 are 2,13,223. Prime factorization of 5798 in exponential form is:

5798 = 21×131×2231

Prime Factorization of 5802


2 5802
3 2901
967 967
1

Prime factors of 5802 are 2,3,967. Prime factorization of 5802 in exponential form is:

5802 = 21×31×9671

∴ So by taking common prime factors GCF of 5798 and 5802 is 2

Greatest Common Factor of 5798 and 5802 by matching factors method

Factors of 5798

List of positive integer factors of 5798 that divides 5798 without a remainder.

1,2,13,26,223,446,2899,5798

Factors of 5802

List of positive integer factors of 5802 that divides 5802 without a remainder.

1,2,3,6,967,1934,2901,5802

Greatest Common Factor

We found the factors and prime factorization of 5798 and 5802. The biggest common factor number is the GCF number.
So the greatest common factor 5798 and 5802 is 2.

Also check out the Least Common Multiple of 5798 and 5802

Properties of GCF 5798 and 5802

(i) The GCF of 5798 and 5802 is associative

GCF of 5798 and 5802 = GCF of 5802 and 5798

Related Greatest Common Factor of 5798

Related Greatest Common Factor of 5802

Frequently Asked Questions on GCF of 5798 and 5802

1. What is the GCF of 5798 and 5802?

Answer: GCF of 5798 and 5802 is 2.

2. What are the Factors of 5798?

Answer: Factors of 5798 are 1, 2, 13, 26, 223, 446, 2899, 5798. There are 8 integers that are factors of 5798. The greatest factor of 5798 is 5798.

3. What are the Factors of 5802?

Answer: Factors of 5802 are 1, 2, 3, 6, 967, 1934, 2901, 5802. There are 8 integers that are factors of 5802. The greatest factor of 5802 is 5802.

4. How to Find the GCF of 5798 and 5802?

Answer:

Greatest Common Factor of 5798 and 5802 = 2

Step 1: Find the prime factorization of 5798

5798 = 2 x 13 x 223

Step 2: Find the prime factorization of 5802

5802 = 2 x 3 x 967

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

GCF = 2

Step 4: Therefore, the greatest common factor of 5798 and 5802 is 2