Greatest Common Factor of 15362 and 15370

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 15362, 15370 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15362 and 15370 is 2.

GCF(15362,15370) = 2

GCF of 15362 and 15370

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

GCF of:
and

Greatest Common Factor of 15362 and 15370

GCF of 15362 and 15370 is 2

Prime Factorization of 15362


2 15362
7681 7681
1

Prime factors of 15362 are 2,7681. Prime factorization of 15362 in exponential form is:

15362 = 21×76811

Prime Factorization of 15370


2 15370
5 7685
29 1537
53 53
1

Prime factors of 15370 are 2,5,29,53. Prime factorization of 15370 in exponential form is:

15370 = 21×51×291×531

∴ So by taking common prime factors GCF of 15362 and 15370 is 2

Greatest Common Factor of 15362 and 15370 by matching factors method

Factors of 15362

List of positive integer factors of 15362 that divides 15362 without a remainder.

1,2,7681,15362

Factors of 15370

List of positive integer factors of 15370 that divides 15370 without a remainder.

1,2,5,10,29,53,58,106,145,265,290,530,1537,3074,7685,15370

Greatest Common Factor

We found the factors and prime factorization of 15362 and 15370. The biggest common factor number is the GCF number.
So the greatest common factor 15362 and 15370 is 2.

Also check out the Least Common Multiple of 15362 and 15370

Properties of GCF 15362 and 15370

(i) The GCF of 15362 and 15370 is associative

GCF of 15362 and 15370 = GCF of 15370 and 15362

Related Greatest Common Factor of 15362

Related Greatest Common Factor of 15370

Frequently Asked Questions on GCF of 15362 and 15370

1. What is the GCF of 15362 and 15370?

Answer: GCF of 15362 and 15370 is 2.

2. What are the Factors of 15362?

Answer: Factors of 15362 are 1, 2, 7681, 15362. There are 4 integers that are factors of 15362. The greatest factor of 15362 is 15362.

3. What are the Factors of 15370?

Answer: Factors of 15370 are 1, 2, 5, 10, 29, 53, 58, 106, 145, 265, 290, 530, 1537, 3074, 7685, 15370. There are 16 integers that are factors of 15370. The greatest factor of 15370 is 15370.

4. How to Find the GCF of 15362 and 15370?

Answer:

Greatest Common Factor of 15362 and 15370 = 2

Step 1: Find the prime factorization of 15362

15362 = 2 x 7681

Step 2: Find the prime factorization of 15370

15370 = 2 x 5 x 29 x 53

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 15362 and 15370 is 2