Greatest Common Factor of 3562 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 3562, 3564 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3562 and 3564 is 2.

GCF(3562,3564) = 2

GCF of 3562 and 3564

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

GCF of:
and

Greatest Common Factor of 3562 and 3564

GCF of 3562 and 3564 is 2

Prime Factorization of 3562


2 3562
13 1781
137 137
1

Prime factors of 3562 are 2,13,137. Prime factorization of 3562 in exponential form is:

3562 = 21×131×1371

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 3562 and 3564 is 2

Greatest Common Factor of 3562 and 3564 by matching factors method

Factors of 3562

List of positive integer factors of 3562 that divides 3562 without a remainder.

1,2,13,26,137,274,1781,3562

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 3562 and 3564. The biggest common factor number is the GCF number.
So the greatest common factor 3562 and 3564 is 2.

Also check out the Least Common Multiple of 3562 and 3564

Properties of GCF 3562 and 3564

(i) The GCF of 3562 and 3564 is associative

GCF of 3562 and 3564 = GCF of 3564 and 3562

Related Greatest Common Factor of 3562

Related Greatest Common Factor of 3564

Frequently Asked Questions on GCF of 3562 and 3564

1. What is the GCF of 3562 and 3564?

Answer: GCF of 3562 and 3564 is 2.

2. What are the Factors of 3562?

Answer: Factors of 3562 are 1, 2, 13, 26, 137, 274, 1781, 3562. There are 8 integers that are factors of 3562. The greatest factor of 3562 is 3562.

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 3562 and 3564?

Answer:

Greatest Common Factor of 3562 and 3564 = 2

Step 1: Find the prime factorization of 3562

3562 = 2 x 13 x 137

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

Step 4: Therefore, the greatest common factor of 3562 and 3564 is 2