Greatest Common Factor of 3020 and 3024

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 3020, 3024 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3020 and 3024 is 4.

GCF(3020,3024) = 4

GCF of 3020 and 3024

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

GCF of:
and

Greatest Common Factor of 3020 and 3024

GCF of 3020 and 3024 is 4

Prime Factorization of 3020


2 3020
2 1510
5 755
151 151
1

Prime factors of 3020 are 2,5,151. Prime factorization of 3020 in exponential form is:

3020 = 22×51×1511

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

∴ So by taking common prime factors GCF of 3020 and 3024 is 4

Greatest Common Factor of 3020 and 3024 by matching factors method

Factors of 3020

List of positive integer factors of 3020 that divides 3020 without a remainder.

1,2,4,5,10,20,151,302,604,755,1510,3020

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

Greatest Common Factor

We found the factors and prime factorization of 3020 and 3024. The biggest common factor number is the GCF number.
So the greatest common factor 3020 and 3024 is 4.

Also check out the Least Common Multiple of 3020 and 3024

Properties of GCF 3020 and 3024

(i) The GCF of 3020 and 3024 is associative

GCF of 3020 and 3024 = GCF of 3024 and 3020

Related Greatest Common Factor of 3020

Related Greatest Common Factor of 3024

Frequently Asked Questions on GCF of 3020 and 3024

1. What is the GCF of 3020 and 3024?

Answer: GCF of 3020 and 3024 is 4.

2. What are the Factors of 3020?

Answer: Factors of 3020 are 1, 2, 4, 5, 10, 20, 151, 302, 604, 755, 1510, 3020. There are 12 integers that are factors of 3020. The greatest factor of 3020 is 3020.

3. 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.

4. How to Find the GCF of 3020 and 3024?

Answer:

Greatest Common Factor of 3020 and 3024 = 4

Step 1: Find the prime factorization of 3020

3020 = 2 x 2 x 5 x 151

Step 2: Find the prime factorization of 3024

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

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 3020 and 3024 is 4