Greatest Common Factor of 15203 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 15203, 15210 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15203 and 15210 is 1.

GCF(15203,15210) = 1

GCF of 15203 and 15210

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

GCF of:
and

Greatest Common Factor of 15203 and 15210

GCF of 15203 and 15210 is 1

Prime Factorization of 15203


23 15203
661 661
1

Prime factors of 15203 are 23,661. Prime factorization of 15203 in exponential form is:

15203 = 231×6611

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 15203 and 15210 is 1

Greatest Common Factor of 15203 and 15210 by matching factors method

Factors of 15203

List of positive integer factors of 15203 that divides 15203 without a remainder.

1,23,661,15203

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 15203 and 15210. The biggest common factor number is the GCF number.
So the greatest common factor 15203 and 15210 is 1.

Also check out the Least Common Multiple of 15203 and 15210

Properties of GCF 15203 and 15210

(i) The GCF of 15203 and 15210 is associative

GCF of 15203 and 15210 = GCF of 15210 and 15203

Related Greatest Common Factor of 15203

Related Greatest Common Factor of 15210

Frequently Asked Questions on GCF of 15203 and 15210

1. What is the GCF of 15203 and 15210?

Answer: GCF of 15203 and 15210 is 1.

2. What are the Factors of 15203?

Answer: Factors of 15203 are 1, 23, 661, 15203. There are 4 integers that are factors of 15203. The greatest factor of 15203 is 15203.

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 15203 and 15210?

Answer:

Greatest Common Factor of 15203 and 15210 = 1

Step 1: Find the prime factorization of 15203

15203 = 23 x 661

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 = = 1

Step 4: Therefore, the greatest common factor of 15203 and 15210 is 1