Greatest Common Factor of 15332 and 15340

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 15332, 15340 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15332 and 15340 is 4.

GCF(15332,15340) = 4

GCF of 15332 and 15340

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

GCF of:
and

Greatest Common Factor of 15332 and 15340

GCF of 15332 and 15340 is 4

Prime Factorization of 15332


2 15332
2 7666
3833 3833
1

Prime factors of 15332 are 2,3833. Prime factorization of 15332 in exponential form is:

15332 = 22×38331

Prime Factorization of 15340


2 15340
2 7670
5 3835
13 767
59 59
1

Prime factors of 15340 are 2,5,13,59. Prime factorization of 15340 in exponential form is:

15340 = 22×51×131×591

∴ So by taking common prime factors GCF of 15332 and 15340 is 4

Greatest Common Factor of 15332 and 15340 by matching factors method

Factors of 15332

List of positive integer factors of 15332 that divides 15332 without a remainder.

1,2,4,3833,7666,15332

Factors of 15340

List of positive integer factors of 15340 that divides 15340 without a remainder.

1,2,4,5,10,13,20,26,52,59,65,118,130,236,260,295,590,767,1180,1534,3068,3835,7670,15340

Greatest Common Factor

We found the factors and prime factorization of 15332 and 15340. The biggest common factor number is the GCF number.
So the greatest common factor 15332 and 15340 is 4.

Also check out the Least Common Multiple of 15332 and 15340

Properties of GCF 15332 and 15340

(i) The GCF of 15332 and 15340 is associative

GCF of 15332 and 15340 = GCF of 15340 and 15332

Related Greatest Common Factor of 15332

Related Greatest Common Factor of 15340

Frequently Asked Questions on GCF of 15332 and 15340

1. What is the GCF of 15332 and 15340?

Answer: GCF of 15332 and 15340 is 4.

2. What are the Factors of 15332?

Answer: Factors of 15332 are 1, 2, 4, 3833, 7666, 15332. There are 6 integers that are factors of 15332. The greatest factor of 15332 is 15332.

3. What are the Factors of 15340?

Answer: Factors of 15340 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 59, 65, 118, 130, 236, 260, 295, 590, 767, 1180, 1534, 3068, 3835, 7670, 15340. There are 24 integers that are factors of 15340. The greatest factor of 15340 is 15340.

4. How to Find the GCF of 15332 and 15340?

Answer:

Greatest Common Factor of 15332 and 15340 = 4

Step 1: Find the prime factorization of 15332

15332 = 2 x 2 x 3833

Step 2: Find the prime factorization of 15340

15340 = 2 x 2 x 5 x 13 x 59

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 15332 and 15340 is 4