Greatest Common Factor of 5604 and 5610

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 5604, 5610 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5604 and 5610 is 6.

GCF(5604,5610) = 6

GCF of 5604 and 5610

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

GCF of:
and

Greatest Common Factor of 5604 and 5610

GCF of 5604 and 5610 is 6

Prime Factorization of 5604


2 5604
2 2802
3 1401
467 467
1

Prime factors of 5604 are 2,3,467. Prime factorization of 5604 in exponential form is:

5604 = 22×31×4671

Prime Factorization of 5610


2 5610
3 2805
5 935
11 187
17 17
1

Prime factors of 5610 are 2,3,5,11,17. Prime factorization of 5610 in exponential form is:

5610 = 21×31×51×111×171

∴ So by taking common prime factors GCF of 5604 and 5610 is 6

Greatest Common Factor of 5604 and 5610 by matching factors method

Factors of 5604

List of positive integer factors of 5604 that divides 5604 without a remainder.

1,2,3,4,6,12,467,934,1401,1868,2802,5604

Factors of 5610

List of positive integer factors of 5610 that divides 5610 without a remainder.

1,2,3,5,6,10,11,15,17,22,30,33,34,51,55,66,85,102,110,165,170,187,255,330,374,510,561,935,1122,1870,2805,5610

Greatest Common Factor

We found the factors and prime factorization of 5604 and 5610. The biggest common factor number is the GCF number.
So the greatest common factor 5604 and 5610 is 6.

Also check out the Least Common Multiple of 5604 and 5610

Properties of GCF 5604 and 5610

(i) The GCF of 5604 and 5610 is associative

GCF of 5604 and 5610 = GCF of 5610 and 5604

Related Greatest Common Factor of 5604

Related Greatest Common Factor of 5610

Frequently Asked Questions on GCF of 5604 and 5610

1. What is the GCF of 5604 and 5610?

Answer: GCF of 5604 and 5610 is 6.

2. What are the Factors of 5604?

Answer: Factors of 5604 are 1, 2, 3, 4, 6, 12, 467, 934, 1401, 1868, 2802, 5604. There are 12 integers that are factors of 5604. The greatest factor of 5604 is 5604.

3. What are the Factors of 5610?

Answer: Factors of 5610 are 1, 2, 3, 5, 6, 10, 11, 15, 17, 22, 30, 33, 34, 51, 55, 66, 85, 102, 110, 165, 170, 187, 255, 330, 374, 510, 561, 935, 1122, 1870, 2805, 5610. There are 32 integers that are factors of 5610. The greatest factor of 5610 is 5610.

4. How to Find the GCF of 5604 and 5610?

Answer:

Greatest Common Factor of 5604 and 5610 = 6

Step 1: Find the prime factorization of 5604

5604 = 2 x 2 x 3 x 467

Step 2: Find the prime factorization of 5610

5610 = 2 x 3 x 5 x 11 x 17

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 5604 and 5610 is 6