Greatest Common Factor of 15202 and 15210

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 15202, 15210 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15202 and 15210 is 2.

GCF(15202,15210) = 2

GCF of 15202 and 15210

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

GCF of:
and

Greatest Common Factor of 15202 and 15210

GCF of 15202 and 15210 is 2

Prime Factorization of 15202


2 15202
11 7601
691 691
1

Prime factors of 15202 are 2,11,691. Prime factorization of 15202 in exponential form is:

15202 = 21×111×6911

Prime Factorization of 15210


2 15210
3 7605
3 2535
5 845
13 169
13 13
1

Prime factors of 15210 are 2,3,5,13. Prime factorization of 15210 in exponential form is:

15210 = 21×32×51×132

∴ So by taking common prime factors GCF of 15202 and 15210 is 2

Greatest Common Factor of 15202 and 15210 by matching factors method

Factors of 15202

List of positive integer factors of 15202 that divides 15202 without a remainder.

1,2,11,22,691,1382,7601,15202

Factors of 15210

List of positive integer factors of 15210 that divides 15210 without a remainder.

1,2,3,5,6,9,10,13,15,18,26,30,39,45,65,78,90,117,130,169,195,234,338,390,507,585,845,1014,1170,1521,1690,2535,3042,5070,7605,15210

Greatest Common Factor

We found the factors and prime factorization of 15202 and 15210. The biggest common factor number is the GCF number.
So the greatest common factor 15202 and 15210 is 2.

Also check out the Least Common Multiple of 15202 and 15210

Properties of GCF 15202 and 15210

(i) The GCF of 15202 and 15210 is associative

GCF of 15202 and 15210 = GCF of 15210 and 15202

Related Greatest Common Factor of 15202

Related Greatest Common Factor of 15210

Frequently Asked Questions on GCF of 15202 and 15210

1. What is the GCF of 15202 and 15210?

Answer: GCF of 15202 and 15210 is 2.

2. What are the Factors of 15202?

Answer: Factors of 15202 are 1, 2, 11, 22, 691, 1382, 7601, 15202. There are 8 integers that are factors of 15202. The greatest factor of 15202 is 15202.

3. What are the Factors of 15210?

Answer: Factors of 15210 are 1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 39, 45, 65, 78, 90, 117, 130, 169, 195, 234, 338, 390, 507, 585, 845, 1014, 1170, 1521, 1690, 2535, 3042, 5070, 7605, 15210. There are 36 integers that are factors of 15210. The greatest factor of 15210 is 15210.

4. How to Find the GCF of 15202 and 15210?

Answer:

Greatest Common Factor of 15202 and 15210 = 2

Step 1: Find the prime factorization of 15202

15202 = 2 x 11 x 691

Step 2: Find the prime factorization of 15210

15210 = 2 x 3 x 3 x 5 x 13 x 13

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 15202 and 15210 is 2