Greatest Common Factor of 5698 and 5704

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 5698, 5704 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5698 and 5704 is 2.

GCF(5698,5704) = 2

GCF of 5698 and 5704

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

GCF of:
and

Greatest Common Factor of 5698 and 5704

GCF of 5698 and 5704 is 2

Prime Factorization of 5698


2 5698
7 2849
11 407
37 37
1

Prime factors of 5698 are 2,7,11,37. Prime factorization of 5698 in exponential form is:

5698 = 21×71×111×371

Prime Factorization of 5704


2 5704
2 2852
2 1426
23 713
31 31
1

Prime factors of 5704 are 2,23,31. Prime factorization of 5704 in exponential form is:

5704 = 23×231×311

∴ So by taking common prime factors GCF of 5698 and 5704 is 2

Greatest Common Factor of 5698 and 5704 by matching factors method

Factors of 5698

List of positive integer factors of 5698 that divides 5698 without a remainder.

1,2,7,11,14,22,37,74,77,154,259,407,518,814,2849,5698

Factors of 5704

List of positive integer factors of 5704 that divides 5704 without a remainder.

1,2,4,8,23,31,46,62,92,124,184,248,713,1426,2852,5704

Greatest Common Factor

We found the factors and prime factorization of 5698 and 5704. The biggest common factor number is the GCF number.
So the greatest common factor 5698 and 5704 is 2.

Also check out the Least Common Multiple of 5698 and 5704

Properties of GCF 5698 and 5704

(i) The GCF of 5698 and 5704 is associative

GCF of 5698 and 5704 = GCF of 5704 and 5698

Related Greatest Common Factor of 5698

Related Greatest Common Factor of 5704

Frequently Asked Questions on GCF of 5698 and 5704

1. What is the GCF of 5698 and 5704?

Answer: GCF of 5698 and 5704 is 2.

2. What are the Factors of 5698?

Answer: Factors of 5698 are 1, 2, 7, 11, 14, 22, 37, 74, 77, 154, 259, 407, 518, 814, 2849, 5698. There are 16 integers that are factors of 5698. The greatest factor of 5698 is 5698.

3. What are the Factors of 5704?

Answer: Factors of 5704 are 1, 2, 4, 8, 23, 31, 46, 62, 92, 124, 184, 248, 713, 1426, 2852, 5704. There are 16 integers that are factors of 5704. The greatest factor of 5704 is 5704.

4. How to Find the GCF of 5698 and 5704?

Answer:

Greatest Common Factor of 5698 and 5704 = 2

Step 1: Find the prime factorization of 5698

5698 = 2 x 7 x 11 x 37

Step 2: Find the prime factorization of 5704

5704 = 2 x 2 x 2 x 23 x 31

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 5698 and 5704 is 2