Greatest Common Factor of 3564 and 3570

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, 3570 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3564 and 3570 is 6.

GCF(3564,3570) = 6

GCF of 3564 and 3570

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

GCF of:
and

Greatest Common Factor of 3564 and 3570

GCF of 3564 and 3570 is 6

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 3570


2 3570
3 1785
5 595
7 119
17 17
1

Prime factors of 3570 are 2,3,5,7,17. Prime factorization of 3570 in exponential form is:

3570 = 21×31×51×71×171

∴ So by taking common prime factors GCF of 3564 and 3570 is 6

Greatest Common Factor of 3564 and 3570 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 3570

List of positive integer factors of 3570 that divides 3570 without a remainder.

1,2,3,5,6,7,10,14,15,17,21,30,34,35,42,51,70,85,102,105,119,170,210,238,255,357,510,595,714,1190,1785,3570

Greatest Common Factor

We found the factors and prime factorization of 3564 and 3570. The biggest common factor number is the GCF number.
So the greatest common factor 3564 and 3570 is 6.

Also check out the Least Common Multiple of 3564 and 3570

Properties of GCF 3564 and 3570

(i) The GCF of 3564 and 3570 is associative

GCF of 3564 and 3570 = GCF of 3570 and 3564

Related Greatest Common Factor of 3564

Related Greatest Common Factor of 3570

Frequently Asked Questions on GCF of 3564 and 3570

1. What is the GCF of 3564 and 3570?

Answer: GCF of 3564 and 3570 is 6.

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 3570?

Answer: Factors of 3570 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 17, 21, 30, 34, 35, 42, 51, 70, 85, 102, 105, 119, 170, 210, 238, 255, 357, 510, 595, 714, 1190, 1785, 3570. There are 32 integers that are factors of 3570. The greatest factor of 3570 is 3570.

4. How to Find the GCF of 3564 and 3570?

Answer:

Greatest Common Factor of 3564 and 3570 = 6

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 3570

3570 = 2 x 3 x 5 x 7 x 17

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 3564 and 3570 is 6