Greatest Common Factor of 15270 and 15274

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, 15274 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15270 and 15274 is 2.

GCF(15270,15274) = 2

GCF of 15270 and 15274

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

GCF of:
and

Greatest Common Factor of 15270 and 15274

GCF of 15270 and 15274 is 2

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 15274


2 15274
7 7637
1091 1091
1

Prime factors of 15274 are 2,7,1091. Prime factorization of 15274 in exponential form is:

15274 = 21×71×10911

∴ So by taking common prime factors GCF of 15270 and 15274 is 2

Greatest Common Factor of 15270 and 15274 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 15274

List of positive integer factors of 15274 that divides 15274 without a remainder.

1,2,7,14,1091,2182,7637,15274

Greatest Common Factor

We found the factors and prime factorization of 15270 and 15274. The biggest common factor number is the GCF number.
So the greatest common factor 15270 and 15274 is 2.

Also check out the Least Common Multiple of 15270 and 15274

Properties of GCF 15270 and 15274

(i) The GCF of 15270 and 15274 is associative

GCF of 15270 and 15274 = GCF of 15274 and 15270

Related Greatest Common Factor of 15270

Related Greatest Common Factor of 15274

Frequently Asked Questions on GCF of 15270 and 15274

1. What is the GCF of 15270 and 15274?

Answer: GCF of 15270 and 15274 is 2.

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 15274?

Answer: Factors of 15274 are 1, 2, 7, 14, 1091, 2182, 7637, 15274. There are 8 integers that are factors of 15274. The greatest factor of 15274 is 15274.

4. How to Find the GCF of 15270 and 15274?

Answer:

Greatest Common Factor of 15270 and 15274 = 2

Step 1: Find the prime factorization of 15270

15270 = 2 x 3 x 5 x 509

Step 2: Find the prime factorization of 15274

15274 = 2 x 7 x 1091

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 15270 and 15274 is 2