Greatest Common Factor of 3024 and 3027

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 3024, 3027 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3024 and 3027 is 3.

GCF(3024,3027) = 3

GCF of 3024 and 3027

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

GCF of:
and

Greatest Common Factor of 3024 and 3027

GCF of 3024 and 3027 is 3

Prime Factorization of 3024


2 3024
2 1512
2 756
2 378
3 189
3 63
3 21
7 7
1

Prime factors of 3024 are 2,3,7. Prime factorization of 3024 in exponential form is:

3024 = 24×33×71

Prime Factorization of 3027


3 3027
1009 1009
1

Prime factors of 3027 are 3,1009. Prime factorization of 3027 in exponential form is:

3027 = 31×10091

∴ So by taking common prime factors GCF of 3024 and 3027 is 3

Greatest Common Factor of 3024 and 3027 by matching factors method

Factors of 3024

List of positive integer factors of 3024 that divides 3024 without a remainder.

1,2,3,4,6,7,8,9,12,14,16,18,21,24,27,28,36,42,48,54,56,63,72,84,108,112,126,144,168,189,216,252,336,378,432,504,756,1008,1512,3024

Factors of 3027

List of positive integer factors of 3027 that divides 3027 without a remainder.

1,3,1009,3027

Greatest Common Factor

We found the factors and prime factorization of 3024 and 3027. The biggest common factor number is the GCF number.
So the greatest common factor 3024 and 3027 is 3.

Also check out the Least Common Multiple of 3024 and 3027

Properties of GCF 3024 and 3027

(i) The GCF of 3024 and 3027 is associative

GCF of 3024 and 3027 = GCF of 3027 and 3024

Related Greatest Common Factor of 3024

Related Greatest Common Factor of 3027

Frequently Asked Questions on GCF of 3024 and 3027

1. What is the GCF of 3024 and 3027?

Answer: GCF of 3024 and 3027 is 3.

2. What are the Factors of 3024?

Answer: Factors of 3024 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 36, 42, 48, 54, 56, 63, 72, 84, 108, 112, 126, 144, 168, 189, 216, 252, 336, 378, 432, 504, 756, 1008, 1512, 3024. There are 40 integers that are factors of 3024. The greatest factor of 3024 is 3024.

3. What are the Factors of 3027?

Answer: Factors of 3027 are 1, 3, 1009, 3027. There are 4 integers that are factors of 3027. The greatest factor of 3027 is 3027.

4. How to Find the GCF of 3024 and 3027?

Answer:

Greatest Common Factor of 3024 and 3027 = 3

Step 1: Find the prime factorization of 3024

3024 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7

Step 2: Find the prime factorization of 3027

3027 = 3 x 1009

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

GCF = 3

Step 4: Therefore, the greatest common factor of 3024 and 3027 is 3