Greatest Common Factor of 15324 and 15330

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, 15330 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15324 and 15330 is 6.

GCF(15324,15330) = 6

GCF of 15324 and 15330

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

GCF of:
and

Greatest Common Factor of 15324 and 15330

GCF of 15324 and 15330 is 6

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 15330


2 15330
3 7665
5 2555
7 511
73 73
1

Prime factors of 15330 are 2,3,5,7,73. Prime factorization of 15330 in exponential form is:

15330 = 21×31×51×71×731

∴ So by taking common prime factors GCF of 15324 and 15330 is 6

Greatest Common Factor of 15324 and 15330 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 15330

List of positive integer factors of 15330 that divides 15330 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,73,105,146,210,219,365,438,511,730,1022,1095,1533,2190,2555,3066,5110,7665,15330

Greatest Common Factor

We found the factors and prime factorization of 15324 and 15330. The biggest common factor number is the GCF number.
So the greatest common factor 15324 and 15330 is 6.

Also check out the Least Common Multiple of 15324 and 15330

Properties of GCF 15324 and 15330

(i) The GCF of 15324 and 15330 is associative

GCF of 15324 and 15330 = GCF of 15330 and 15324

Related Greatest Common Factor of 15324

Related Greatest Common Factor of 15330

Frequently Asked Questions on GCF of 15324 and 15330

1. What is the GCF of 15324 and 15330?

Answer: GCF of 15324 and 15330 is 6.

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 15330?

Answer: Factors of 15330 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 73, 105, 146, 210, 219, 365, 438, 511, 730, 1022, 1095, 1533, 2190, 2555, 3066, 5110, 7665, 15330. There are 32 integers that are factors of 15330. The greatest factor of 15330 is 15330.

4. How to Find the GCF of 15324 and 15330?

Answer:

Greatest Common Factor of 15324 and 15330 = 6

Step 1: Find the prime factorization of 15324

15324 = 2 x 2 x 3 x 1277

Step 2: Find the prime factorization of 15330

15330 = 2 x 3 x 5 x 7 x 73

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 15324 and 15330 is 6