Greatest Common Factor of 3564 and 3567

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 3564, 3567 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3564 and 3567 is 3.

GCF(3564,3567) = 3

GCF of 3564 and 3567

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

GCF of:
and

Greatest Common Factor of 3564 and 3567

GCF of 3564 and 3567 is 3

Prime Factorization of 3564


2 3564
2 1782
3 891
3 297
3 99
3 33
11 11
1

Prime factors of 3564 are 2,3,11. Prime factorization of 3564 in exponential form is:

3564 = 22×34×111

Prime Factorization of 3567


3 3567
29 1189
41 41
1

Prime factors of 3567 are 3,29,41. Prime factorization of 3567 in exponential form is:

3567 = 31×291×411

∴ So by taking common prime factors GCF of 3564 and 3567 is 3

Greatest Common Factor of 3564 and 3567 by matching factors method

Factors of 3564

List of positive integer factors of 3564 that divides 3564 without a remainder.

1,2,3,4,6,9,11,12,18,22,27,33,36,44,54,66,81,99,108,132,162,198,297,324,396,594,891,1188,1782,3564

Factors of 3567

List of positive integer factors of 3567 that divides 3567 without a remainder.

1,3,29,41,87,123,1189,3567

Greatest Common Factor

We found the factors and prime factorization of 3564 and 3567. The biggest common factor number is the GCF number.
So the greatest common factor 3564 and 3567 is 3.

Also check out the Least Common Multiple of 3564 and 3567

Properties of GCF 3564 and 3567

(i) The GCF of 3564 and 3567 is associative

GCF of 3564 and 3567 = GCF of 3567 and 3564

Related Greatest Common Factor of 3564

Related Greatest Common Factor of 3567

Frequently Asked Questions on GCF of 3564 and 3567

1. What is the GCF of 3564 and 3567?

Answer: GCF of 3564 and 3567 is 3.

2. What are the Factors of 3564?

Answer: Factors of 3564 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 81, 99, 108, 132, 162, 198, 297, 324, 396, 594, 891, 1188, 1782, 3564. There are 30 integers that are factors of 3564. The greatest factor of 3564 is 3564.

3. What are the Factors of 3567?

Answer: Factors of 3567 are 1, 3, 29, 41, 87, 123, 1189, 3567. There are 8 integers that are factors of 3567. The greatest factor of 3567 is 3567.

4. How to Find the GCF of 3564 and 3567?

Answer:

Greatest Common Factor of 3564 and 3567 = 3

Step 1: Find the prime factorization of 3564

3564 = 2 x 2 x 3 x 3 x 3 x 3 x 11

Step 2: Find the prime factorization of 3567

3567 = 3 x 29 x 41

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 3564 and 3567 is 3