Greatest Common Factor of 27018 and 27024

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 27018, 27024 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 27018 and 27024 is 6.

GCF(27018,27024) = 6

GCF of 27018 and 27024

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

GCF of:
and

Greatest Common Factor of 27018 and 27024

GCF of 27018 and 27024 is 6

Prime Factorization of 27018


2 27018
3 13509
3 4503
19 1501
79 79
1

Prime factors of 27018 are 2,3,19,79. Prime factorization of 27018 in exponential form is:

27018 = 21×32×191×791

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

∴ So by taking common prime factors GCF of 27018 and 27024 is 6

Greatest Common Factor of 27018 and 27024 by matching factors method

Factors of 27018

List of positive integer factors of 27018 that divides 27018 without a remainder.

1,2,3,6,9,18,19,38,57,79,114,158,171,237,342,474,711,1422,1501,3002,4503,9006,13509,27018

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

Greatest Common Factor

We found the factors and prime factorization of 27018 and 27024. The biggest common factor number is the GCF number.
So the greatest common factor 27018 and 27024 is 6.

Also check out the Least Common Multiple of 27018 and 27024

Properties of GCF 27018 and 27024

(i) The GCF of 27018 and 27024 is associative

GCF of 27018 and 27024 = GCF of 27024 and 27018

Related Greatest Common Factor of 27018

Related Greatest Common Factor of 27024

Frequently Asked Questions on GCF of 27018 and 27024

1. What is the GCF of 27018 and 27024?

Answer: GCF of 27018 and 27024 is 6.

2. What are the Factors of 27018?

Answer: Factors of 27018 are 1, 2, 3, 6, 9, 18, 19, 38, 57, 79, 114, 158, 171, 237, 342, 474, 711, 1422, 1501, 3002, 4503, 9006, 13509, 27018. There are 24 integers that are factors of 27018. The greatest factor of 27018 is 27018.

3. 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.

4. How to Find the GCF of 27018 and 27024?

Answer:

Greatest Common Factor of 27018 and 27024 = 6

Step 1: Find the prime factorization of 27018

27018 = 2 x 3 x 3 x 19 x 79

Step 2: Find the prime factorization of 27024

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

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 27018 and 27024 is 6