What is the Greatest Common Factor of 3549 and 3556?

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

GCF(3549,3556) = 7

We will now calculate the prime factors of 3549 and 3556, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3549 and 3556.

How to find the GCF of 3549 and 3556?

We will first find the prime factorization of 3549 and 3556. After we will calculate the factors of 3549 and 3556 and find the biggest common factor number .

Step-1: Prime Factorization of 3549

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

3549 = 3¹ × 7¹ × 13²

Step-2: Prime Factorization of 3556

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

3556 = 2² × 7¹ × 127¹

Step-3: 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

Step-4: Factors of 3556

List of positive integer factors of 3556 that divides 3549 without a remainder.

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

Final Step: Biggest Common Factor Number

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