Greatest Common Factor of 11302 and 11310

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 11302, 11310 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 11302 and 11310 is 2.

GCF(11302,11310) = 2

GCF of 11302 and 11310

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

GCF of:
and

Greatest Common Factor of 11302 and 11310

GCF of 11302 and 11310 is 2

Prime Factorization of 11302


2 11302
5651 5651
1

Prime factors of 11302 are 2,5651. Prime factorization of 11302 in exponential form is:

11302 = 21×56511

Prime Factorization of 11310


2 11310
3 5655
5 1885
13 377
29 29
1

Prime factors of 11310 are 2,3,5,13,29. Prime factorization of 11310 in exponential form is:

11310 = 21×31×51×131×291

∴ So by taking common prime factors GCF of 11302 and 11310 is 2

Greatest Common Factor of 11302 and 11310 by matching factors method

Factors of 11302

List of positive integer factors of 11302 that divides 11302 without a remainder.

1,2,5651,11302

Factors of 11310

List of positive integer factors of 11310 that divides 11310 without a remainder.

1,2,3,5,6,10,13,15,26,29,30,39,58,65,78,87,130,145,174,195,290,377,390,435,754,870,1131,1885,2262,3770,5655,11310

Greatest Common Factor

We found the factors and prime factorization of 11302 and 11310. The biggest common factor number is the GCF number.
So the greatest common factor 11302 and 11310 is 2.

Also check out the Least Common Multiple of 11302 and 11310

Properties of GCF 11302 and 11310

(i) The GCF of 11302 and 11310 is associative

GCF of 11302 and 11310 = GCF of 11310 and 11302

Related Greatest Common Factor of 11302

Related Greatest Common Factor of 11310

Frequently Asked Questions on GCF of 11302 and 11310

1. What is the GCF of 11302 and 11310?

Answer: GCF of 11302 and 11310 is 2.

2. What are the Factors of 11302?

Answer: Factors of 11302 are 1, 2, 5651, 11302. There are 4 integers that are factors of 11302. The greatest factor of 11302 is 11302.

3. What are the Factors of 11310?

Answer: Factors of 11310 are 1, 2, 3, 5, 6, 10, 13, 15, 26, 29, 30, 39, 58, 65, 78, 87, 130, 145, 174, 195, 290, 377, 390, 435, 754, 870, 1131, 1885, 2262, 3770, 5655, 11310. There are 32 integers that are factors of 11310. The greatest factor of 11310 is 11310.

4. How to Find the GCF of 11302 and 11310?

Answer:

Greatest Common Factor of 11302 and 11310 = 2

Step 1: Find the prime factorization of 11302

11302 = 2 x 5651

Step 2: Find the prime factorization of 11310

11310 = 2 x 3 x 5 x 13 x 29

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 11302 and 11310 is 2