Greatest Common Factor of 27024 and 27030

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 27024, 27030 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 27024 and 27030 is 6.

GCF(27024,27030) = 6

GCF of 27024 and 27030

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

GCF of:
and

Greatest Common Factor of 27024 and 27030

GCF of 27024 and 27030 is 6

Prime Factorization of 27024


2 27024
2 13512
2 6756
2 3378
3 1689
563 563
1

Prime factors of 27024 are 2,3,563. Prime factorization of 27024 in exponential form is:

27024 = 24×31×5631

Prime Factorization of 27030


2 27030
3 13515
5 4505
17 901
53 53
1

Prime factors of 27030 are 2,3,5,17,53. Prime factorization of 27030 in exponential form is:

27030 = 21×31×51×171×531

∴ So by taking common prime factors GCF of 27024 and 27030 is 6

Greatest Common Factor of 27024 and 27030 by matching factors method

Factors of 27024

List of positive integer factors of 27024 that divides 27024 without a remainder.

1,2,3,4,6,8,12,16,24,48,563,1126,1689,2252,3378,4504,6756,9008,13512,27024

Factors of 27030

List of positive integer factors of 27030 that divides 27030 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,53,85,102,106,159,170,255,265,318,510,530,795,901,1590,1802,2703,4505,5406,9010,13515,27030

Greatest Common Factor

We found the factors and prime factorization of 27024 and 27030. The biggest common factor number is the GCF number.
So the greatest common factor 27024 and 27030 is 6.

Also check out the Least Common Multiple of 27024 and 27030

Properties of GCF 27024 and 27030

(i) The GCF of 27024 and 27030 is associative

GCF of 27024 and 27030 = GCF of 27030 and 27024

Related Greatest Common Factor of 27024

Related Greatest Common Factor of 27030

Frequently Asked Questions on GCF of 27024 and 27030

1. What is the GCF of 27024 and 27030?

Answer: GCF of 27024 and 27030 is 6.

2. What are the Factors of 27024?

Answer: Factors of 27024 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 563, 1126, 1689, 2252, 3378, 4504, 6756, 9008, 13512, 27024. There are 20 integers that are factors of 27024. The greatest factor of 27024 is 27024.

3. What are the Factors of 27030?

Answer: Factors of 27030 are 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 53, 85, 102, 106, 159, 170, 255, 265, 318, 510, 530, 795, 901, 1590, 1802, 2703, 4505, 5406, 9010, 13515, 27030. There are 32 integers that are factors of 27030. The greatest factor of 27030 is 27030.

4. How to Find the GCF of 27024 and 27030?

Answer:

Greatest Common Factor of 27024 and 27030 = 6

Step 1: Find the prime factorization of 27024

27024 = 2 x 2 x 2 x 2 x 3 x 563

Step 2: Find the prime factorization of 27030

27030 = 2 x 3 x 5 x 17 x 53

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 27024 and 27030 is 6