Greatest Common Factor of 15330 and 15336

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 15330, 15336 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15330 and 15336 is 6.

GCF(15330,15336) = 6

GCF of 15330 and 15336

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

GCF of:
and

Greatest Common Factor of 15330 and 15336

GCF of 15330 and 15336 is 6

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

Prime Factorization of 15336


2 15336
2 7668
2 3834
3 1917
3 639
3 213
71 71
1

Prime factors of 15336 are 2,3,71. Prime factorization of 15336 in exponential form is:

15336 = 23×33×711

∴ So by taking common prime factors GCF of 15330 and 15336 is 6

Greatest Common Factor of 15330 and 15336 by matching factors method

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

Factors of 15336

List of positive integer factors of 15336 that divides 15336 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,71,72,108,142,213,216,284,426,568,639,852,1278,1704,1917,2556,3834,5112,7668,15336

Greatest Common Factor

We found the factors and prime factorization of 15330 and 15336. The biggest common factor number is the GCF number.
So the greatest common factor 15330 and 15336 is 6.

Also check out the Least Common Multiple of 15330 and 15336

Properties of GCF 15330 and 15336

(i) The GCF of 15330 and 15336 is associative

GCF of 15330 and 15336 = GCF of 15336 and 15330

Related Greatest Common Factor of 15330

Related Greatest Common Factor of 15336

Frequently Asked Questions on GCF of 15330 and 15336

1. What is the GCF of 15330 and 15336?

Answer: GCF of 15330 and 15336 is 6.

2. 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.

3. What are the Factors of 15336?

Answer: Factors of 15336 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 71, 72, 108, 142, 213, 216, 284, 426, 568, 639, 852, 1278, 1704, 1917, 2556, 3834, 5112, 7668, 15336. There are 32 integers that are factors of 15336. The greatest factor of 15336 is 15336.

4. How to Find the GCF of 15330 and 15336?

Answer:

Greatest Common Factor of 15330 and 15336 = 6

Step 1: Find the prime factorization of 15330

15330 = 2 x 3 x 5 x 7 x 73

Step 2: Find the prime factorization of 15336

15336 = 2 x 2 x 2 x 3 x 3 x 3 x 71

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 15330 and 15336 is 6