Greatest Common Factor of 15324 and 15328

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 15324, 15328 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15324 and 15328 is 4.

GCF(15324,15328) = 4

GCF of 15324 and 15328

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

GCF of:
and

Greatest Common Factor of 15324 and 15328

GCF of 15324 and 15328 is 4

Prime Factorization of 15324


2 15324
2 7662
3 3831
1277 1277
1

Prime factors of 15324 are 2,3,1277. Prime factorization of 15324 in exponential form is:

15324 = 22×31×12771

Prime Factorization of 15328


2 15328
2 7664
2 3832
2 1916
2 958
479 479
1

Prime factors of 15328 are 2,479. Prime factorization of 15328 in exponential form is:

15328 = 25×4791

∴ So by taking common prime factors GCF of 15324 and 15328 is 4

Greatest Common Factor of 15324 and 15328 by matching factors method

Factors of 15324

List of positive integer factors of 15324 that divides 15324 without a remainder.

1,2,3,4,6,12,1277,2554,3831,5108,7662,15324

Factors of 15328

List of positive integer factors of 15328 that divides 15328 without a remainder.

1,2,4,8,16,32,479,958,1916,3832,7664,15328

Greatest Common Factor

We found the factors and prime factorization of 15324 and 15328. The biggest common factor number is the GCF number.
So the greatest common factor 15324 and 15328 is 4.

Also check out the Least Common Multiple of 15324 and 15328

Properties of GCF 15324 and 15328

(i) The GCF of 15324 and 15328 is associative

GCF of 15324 and 15328 = GCF of 15328 and 15324

Related Greatest Common Factor of 15324

Related Greatest Common Factor of 15328

Frequently Asked Questions on GCF of 15324 and 15328

1. What is the GCF of 15324 and 15328?

Answer: GCF of 15324 and 15328 is 4.

2. What are the Factors of 15324?

Answer: Factors of 15324 are 1, 2, 3, 4, 6, 12, 1277, 2554, 3831, 5108, 7662, 15324. There are 12 integers that are factors of 15324. The greatest factor of 15324 is 15324.

3. What are the Factors of 15328?

Answer: Factors of 15328 are 1, 2, 4, 8, 16, 32, 479, 958, 1916, 3832, 7664, 15328. There are 12 integers that are factors of 15328. The greatest factor of 15328 is 15328.

4. How to Find the GCF of 15324 and 15328?

Answer:

Greatest Common Factor of 15324 and 15328 = 4

Step 1: Find the prime factorization of 15324

15324 = 2 x 2 x 3 x 1277

Step 2: Find the prime factorization of 15328

15328 = 2 x 2 x 2 x 2 x 2 x 479

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 15324 and 15328 is 4