What is the Greatest Common Factor of 3549 and 3567?

Greatest common factor (GCF) of 3549 and 3567 is 3.

GCF(3549,3567) = 3

We will now calculate the prime factors of 3549 and 3567, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3549 and 3567.

How to find the GCF of 3549 and 3567?

We will first find the prime factorization of 3549 and 3567. After we will calculate the factors of 3549 and 3567 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 3567

Prime factors of 3567 are 3, 29, 41. Prime factorization of 3567 in exponential form is:

3567 = 3¹ × 29¹ × 41¹

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 3567

List of positive integer factors of 3567 that divides 3549 without a remainder.

1, 3, 29, 41, 87, 123, 1189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3549 and 3567. The biggest common factor number is the GCF number.
So the greatest common factor 3549 and 3567 is 3.

Also check out the Least Common Multiple of 3549 and 3567