Greatest Common Factor of 3549 and 3555

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, 3555 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3549 and 3555 is 3.

GCF(3549,3555) = 3

GCF of 3549 and 3555

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

GCF of:
and

Greatest Common Factor of 3549 and 3555

GCF of 3549 and 3555 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 3555


3 3555
3 1185
5 395
79 79
1

Prime factors of 3555 are 3,5,79. Prime factorization of 3555 in exponential form is:

3555 = 32×51×791

∴ So by taking common prime factors GCF of 3549 and 3555 is 3

Greatest Common Factor of 3549 and 3555 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 3555

List of positive integer factors of 3555 that divides 3555 without a remainder.

1,3,5,9,15,45,79,237,395,711,1185,3555

Greatest Common Factor

We found the factors and prime factorization of 3549 and 3555. The biggest common factor number is the GCF number.
So the greatest common factor 3549 and 3555 is 3.

Also check out the Least Common Multiple of 3549 and 3555

Properties of GCF 3549 and 3555

(i) The GCF of 3549 and 3555 is associative

GCF of 3549 and 3555 = GCF of 3555 and 3549

Related Greatest Common Factor of 3549

Related Greatest Common Factor of 3555

Frequently Asked Questions on GCF of 3549 and 3555

1. What is the GCF of 3549 and 3555?

Answer: GCF of 3549 and 3555 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 3555?

Answer: Factors of 3555 are 1, 3, 5, 9, 15, 45, 79, 237, 395, 711, 1185, 3555. There are 12 integers that are factors of 3555. The greatest factor of 3555 is 3555.

4. How to Find the GCF of 3549 and 3555?

Answer:

Greatest Common Factor of 3549 and 3555 = 3

Step 1: Find the prime factorization of 3549

3549 = 3 x 7 x 13 x 13

Step 2: Find the prime factorization of 3555

3555 = 3 x 3 x 5 x 79

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 3555 is 3