Greatest Common Factor of 15253 and 15260

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 15253, 15260 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15253 and 15260 is 7.

GCF(15253,15260) = 7

GCF of 15253 and 15260

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

GCF of:
and

Greatest Common Factor of 15253 and 15260

GCF of 15253 and 15260 is 7

Prime Factorization of 15253


7 15253
2179 2179
1

Prime factors of 15253 are 7,2179. Prime factorization of 15253 in exponential form is:

15253 = 71×21791

Prime Factorization of 15260


2 15260
2 7630
5 3815
7 763
109 109
1

Prime factors of 15260 are 2,5,7,109. Prime factorization of 15260 in exponential form is:

15260 = 22×51×71×1091

∴ So by taking common prime factors GCF of 15253 and 15260 is 7

Greatest Common Factor of 15253 and 15260 by matching factors method

Factors of 15253

List of positive integer factors of 15253 that divides 15253 without a remainder.

1,7,2179,15253

Factors of 15260

List of positive integer factors of 15260 that divides 15260 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,109,140,218,436,545,763,1090,1526,2180,3052,3815,7630,15260

Greatest Common Factor

We found the factors and prime factorization of 15253 and 15260. The biggest common factor number is the GCF number.
So the greatest common factor 15253 and 15260 is 7.

Also check out the Least Common Multiple of 15253 and 15260

Properties of GCF 15253 and 15260

(i) The GCF of 15253 and 15260 is associative

GCF of 15253 and 15260 = GCF of 15260 and 15253

Related Greatest Common Factor of 15253

Related Greatest Common Factor of 15260

Frequently Asked Questions on GCF of 15253 and 15260

1. What is the GCF of 15253 and 15260?

Answer: GCF of 15253 and 15260 is 7.

2. What are the Factors of 15253?

Answer: Factors of 15253 are 1, 7, 2179, 15253. There are 4 integers that are factors of 15253. The greatest factor of 15253 is 15253.

3. What are the Factors of 15260?

Answer: Factors of 15260 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 109, 140, 218, 436, 545, 763, 1090, 1526, 2180, 3052, 3815, 7630, 15260. There are 24 integers that are factors of 15260. The greatest factor of 15260 is 15260.

4. How to Find the GCF of 15253 and 15260?

Answer:

Greatest Common Factor of 15253 and 15260 = 7

Step 1: Find the prime factorization of 15253

15253 = 7 x 2179

Step 2: Find the prime factorization of 15260

15260 = 2 x 2 x 5 x 7 x 109

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

GCF = 7

Step 4: Therefore, the greatest common factor of 15253 and 15260 is 7