Greatest Common Factor of 3549 and 3552

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 3549, 3552 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3549 and 3552 is 3.

GCF(3549,3552) = 3

GCF of 3549 and 3552

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

GCF of:
and

Greatest Common Factor of 3549 and 3552

GCF of 3549 and 3552 is 3

Prime Factorization of 3549


3 3549
7 1183
13 169
13 13
1

Prime factors of 3549 are 3,7,13. Prime factorization of 3549 in exponential form is:

3549 = 31×71×132

Prime Factorization of 3552


2 3552
2 1776
2 888
2 444
2 222
3 111
37 37
1

Prime factors of 3552 are 2,3,37. Prime factorization of 3552 in exponential form is:

3552 = 25×31×371

∴ So by taking common prime factors GCF of 3549 and 3552 is 3

Greatest Common Factor of 3549 and 3552 by matching factors method

Factors of 3549

List of positive integer factors of 3549 that divides 3549 without a remainder.

1,3,7,13,21,39,91,169,273,507,1183,3549

Factors of 3552

List of positive integer factors of 3552 that divides 3552 without a remainder.

1,2,3,4,6,8,12,16,24,32,37,48,74,96,111,148,222,296,444,592,888,1184,1776,3552

Greatest Common Factor

We found the factors and prime factorization of 3549 and 3552. The biggest common factor number is the GCF number.
So the greatest common factor 3549 and 3552 is 3.

Also check out the Least Common Multiple of 3549 and 3552

Properties of GCF 3549 and 3552

(i) The GCF of 3549 and 3552 is associative

GCF of 3549 and 3552 = GCF of 3552 and 3549

Related Greatest Common Factor of 3549

Related Greatest Common Factor of 3552

Frequently Asked Questions on GCF of 3549 and 3552

1. What is the GCF of 3549 and 3552?

Answer: GCF of 3549 and 3552 is 3.

2. What are the Factors of 3549?

Answer: Factors of 3549 are 1, 3, 7, 13, 21, 39, 91, 169, 273, 507, 1183, 3549. There are 12 integers that are factors of 3549. The greatest factor of 3549 is 3549.

3. What are the Factors of 3552?

Answer: Factors of 3552 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 37, 48, 74, 96, 111, 148, 222, 296, 444, 592, 888, 1184, 1776, 3552. There are 24 integers that are factors of 3552. The greatest factor of 3552 is 3552.

4. How to Find the GCF of 3549 and 3552?

Answer:

Greatest Common Factor of 3549 and 3552 = 3

Step 1: Find the prime factorization of 3549

3549 = 3 x 7 x 13 x 13

Step 2: Find the prime factorization of 3552

3552 = 2 x 2 x 2 x 2 x 2 x 3 x 37

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 3549 and 3552 is 3