Greatest Common Factor of 5602 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 5602, 5610 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5602 and 5610 is 2.

GCF(5602,5610) = 2

GCF of 5602 and 5610

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

GCF of:
and

Greatest Common Factor of 5602 and 5610

GCF of 5602 and 5610 is 2

Prime Factorization of 5602


2 5602
2801 2801
1

Prime factors of 5602 are 2,2801. Prime factorization of 5602 in exponential form is:

5602 = 21×28011

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 5602 and 5610 is 2

Greatest Common Factor of 5602 and 5610 by matching factors method

Factors of 5602

List of positive integer factors of 5602 that divides 5602 without a remainder.

1,2,2801,5602

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 5602 and 5610. The biggest common factor number is the GCF number.
So the greatest common factor 5602 and 5610 is 2.

Also check out the Least Common Multiple of 5602 and 5610

Properties of GCF 5602 and 5610

(i) The GCF of 5602 and 5610 is associative

GCF of 5602 and 5610 = GCF of 5610 and 5602

Related Greatest Common Factor of 5602

Related Greatest Common Factor of 5610

Frequently Asked Questions on GCF of 5602 and 5610

1. What is the GCF of 5602 and 5610?

Answer: GCF of 5602 and 5610 is 2.

2. What are the Factors of 5602?

Answer: Factors of 5602 are 1, 2, 2801, 5602. There are 4 integers that are factors of 5602. The greatest factor of 5602 is 5602.

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 5602 and 5610?

Answer:

Greatest Common Factor of 5602 and 5610 = 2

Step 1: Find the prime factorization of 5602

5602 = 2 x 2801

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

Step 4: Therefore, the greatest common factor of 5602 and 5610 is 2