Greatest Common Factor of 3024 and 3029

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, 3029 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3024 and 3029 is 1.

GCF(3024,3029) = 1

GCF of 3024 and 3029

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

GCF of:
and

Greatest Common Factor of 3024 and 3029

GCF of 3024 and 3029 is 1

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 3029


13 3029
233 233
1

Prime factors of 3029 are 13,233. Prime factorization of 3029 in exponential form is:

3029 = 131×2331

∴ So by taking common prime factors GCF of 3024 and 3029 is 1

Greatest Common Factor of 3024 and 3029 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 3029

List of positive integer factors of 3029 that divides 3029 without a remainder.

1,13,233,3029

Greatest Common Factor

We found the factors and prime factorization of 3024 and 3029. The biggest common factor number is the GCF number.
So the greatest common factor 3024 and 3029 is 1.

Also check out the Least Common Multiple of 3024 and 3029

Properties of GCF 3024 and 3029

(i) The GCF of 3024 and 3029 is associative

GCF of 3024 and 3029 = GCF of 3029 and 3024

Related Greatest Common Factor of 3024

Related Greatest Common Factor of 3029

Frequently Asked Questions on GCF of 3024 and 3029

1. What is the GCF of 3024 and 3029?

Answer: GCF of 3024 and 3029 is 1.

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 3029?

Answer: Factors of 3029 are 1, 13, 233, 3029. There are 4 integers that are factors of 3029. The greatest factor of 3029 is 3029.

4. How to Find the GCF of 3024 and 3029?

Answer:

Greatest Common Factor of 3024 and 3029 = 1

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 3029

3029 = 13 x 233

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 3024 and 3029 is 1