Greatest Common Factor of 15270 and 15275

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 15270, 15275 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15270 and 15275 is 5.

GCF(15270,15275) = 5

GCF of 15270 and 15275

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

GCF of:
and

Greatest Common Factor of 15270 and 15275

GCF of 15270 and 15275 is 5

Prime Factorization of 15270


2 15270
3 7635
5 2545
509 509
1

Prime factors of 15270 are 2,3,5,509. Prime factorization of 15270 in exponential form is:

15270 = 21×31×51×5091

Prime Factorization of 15275


5 15275
5 3055
13 611
47 47
1

Prime factors of 15275 are 5,13,47. Prime factorization of 15275 in exponential form is:

15275 = 52×131×471

∴ So by taking common prime factors GCF of 15270 and 15275 is 5

Greatest Common Factor of 15270 and 15275 by matching factors method

Factors of 15270

List of positive integer factors of 15270 that divides 15270 without a remainder.

1,2,3,5,6,10,15,30,509,1018,1527,2545,3054,5090,7635,15270

Factors of 15275

List of positive integer factors of 15275 that divides 15275 without a remainder.

1,5,13,25,47,65,235,325,611,1175,3055,15275

Greatest Common Factor

We found the factors and prime factorization of 15270 and 15275. The biggest common factor number is the GCF number.
So the greatest common factor 15270 and 15275 is 5.

Also check out the Least Common Multiple of 15270 and 15275

Properties of GCF 15270 and 15275

(i) The GCF of 15270 and 15275 is associative

GCF of 15270 and 15275 = GCF of 15275 and 15270

Related Greatest Common Factor of 15270

Related Greatest Common Factor of 15275

Frequently Asked Questions on GCF of 15270 and 15275

1. What is the GCF of 15270 and 15275?

Answer: GCF of 15270 and 15275 is 5.

2. What are the Factors of 15270?

Answer: Factors of 15270 are 1, 2, 3, 5, 6, 10, 15, 30, 509, 1018, 1527, 2545, 3054, 5090, 7635, 15270. There are 16 integers that are factors of 15270. The greatest factor of 15270 is 15270.

3. What are the Factors of 15275?

Answer: Factors of 15275 are 1, 5, 13, 25, 47, 65, 235, 325, 611, 1175, 3055, 15275. There are 12 integers that are factors of 15275. The greatest factor of 15275 is 15275.

4. How to Find the GCF of 15270 and 15275?

Answer:

Greatest Common Factor of 15270 and 15275 = 5

Step 1: Find the prime factorization of 15270

15270 = 2 x 3 x 5 x 509

Step 2: Find the prime factorization of 15275

15275 = 5 x 5 x 13 x 47

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

GCF = 5

Step 4: Therefore, the greatest common factor of 15270 and 15275 is 5