Greatest Common Factor of 15324 and 15332

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

Greatest common factor (GCF) of 15324 and 15332 is 4.

GCF(15324,15332) = 4

GCF of 15324 and 15332

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

GCF of:
and

Greatest Common Factor of 15324 and 15332

GCF of 15324 and 15332 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 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

∴ So by taking common prime factors GCF of 15324 and 15332 is 4

Greatest Common Factor of 15324 and 15332 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 15332

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

1,2,4,3833,7666,15332

Greatest Common Factor

We found the factors and prime factorization of 15324 and 15332. The biggest common factor number is the GCF number.
So the greatest common factor 15324 and 15332 is 4.

Also check out the Least Common Multiple of 15324 and 15332

Properties of GCF 15324 and 15332

(i) The GCF of 15324 and 15332 is associative

GCF of 15324 and 15332 = GCF of 15332 and 15324

Related Greatest Common Factor of 15324

Related Greatest Common Factor of 15332

Frequently Asked Questions on GCF of 15324 and 15332

1. What is the GCF of 15324 and 15332?

Answer: GCF of 15324 and 15332 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 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.

4. How to Find the GCF of 15324 and 15332?

Answer:

Greatest Common Factor of 15324 and 15332 = 4

Step 1: Find the prime factorization of 15324

15324 = 2 x 2 x 3 x 1277

Step 2: Find the prime factorization of 15332

15332 = 2 x 2 x 3833

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 15332 is 4