Greatest Common Factor of 3556 and 3564

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 3556, 3564 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3556 and 3564 is 4.

GCF(3556,3564) = 4

GCF of 3556 and 3564

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

GCF of:
and

Greatest Common Factor of 3556 and 3564

GCF of 3556 and 3564 is 4

Prime Factorization of 3556


2 3556
2 1778
7 889
127 127
1

Prime factors of 3556 are 2,7,127. Prime factorization of 3556 in exponential form is:

3556 = 22×71×1271

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

∴ So by taking common prime factors GCF of 3556 and 3564 is 4

Greatest Common Factor of 3556 and 3564 by matching factors method

Factors of 3556

List of positive integer factors of 3556 that divides 3556 without a remainder.

1,2,4,7,14,28,127,254,508,889,1778,3556

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

Greatest Common Factor

We found the factors and prime factorization of 3556 and 3564. The biggest common factor number is the GCF number.
So the greatest common factor 3556 and 3564 is 4.

Also check out the Least Common Multiple of 3556 and 3564

Properties of GCF 3556 and 3564

(i) The GCF of 3556 and 3564 is associative

GCF of 3556 and 3564 = GCF of 3564 and 3556

Related Greatest Common Factor of 3556

Related Greatest Common Factor of 3564

Frequently Asked Questions on GCF of 3556 and 3564

1. What is the GCF of 3556 and 3564?

Answer: GCF of 3556 and 3564 is 4.

2. What are the Factors of 3556?

Answer: Factors of 3556 are 1, 2, 4, 7, 14, 28, 127, 254, 508, 889, 1778, 3556. There are 12 integers that are factors of 3556. The greatest factor of 3556 is 3556.

3. 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.

4. How to Find the GCF of 3556 and 3564?

Answer:

Greatest Common Factor of 3556 and 3564 = 4

Step 1: Find the prime factorization of 3556

3556 = 2 x 2 x 7 x 127

Step 2: Find the prime factorization of 3564

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

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 3556 and 3564 is 4