Greatest Common Factor of 3549 and 3556

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, 3556 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3549 and 3556 is 7.

GCF(3549,3556) = 7

GCF of 3549 and 3556

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

GCF of:
and

Greatest Common Factor of 3549 and 3556

GCF of 3549 and 3556 is 7

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 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

∴ So by taking common prime factors GCF of 3549 and 3556 is 7

Greatest Common Factor of 3549 and 3556 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 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

Greatest Common Factor

We found the factors and prime factorization of 3549 and 3556. The biggest common factor number is the GCF number.
So the greatest common factor 3549 and 3556 is 7.

Also check out the Least Common Multiple of 3549 and 3556

Properties of GCF 3549 and 3556

(i) The GCF of 3549 and 3556 is associative

GCF of 3549 and 3556 = GCF of 3556 and 3549

Related Greatest Common Factor of 3549

Related Greatest Common Factor of 3556

Frequently Asked Questions on GCF of 3549 and 3556

1. What is the GCF of 3549 and 3556?

Answer: GCF of 3549 and 3556 is 7.

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 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.

4. How to Find the GCF of 3549 and 3556?

Answer:

Greatest Common Factor of 3549 and 3556 = 7

Step 1: Find the prime factorization of 3549

3549 = 3 x 7 x 13 x 13

Step 2: Find the prime factorization of 3556

3556 = 2 x 2 x 7 x 127

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 7

Step 4: Therefore, the greatest common factor of 3549 and 3556 is 7