What is the Greatest Common Factor of 3549 and 3565?

Greatest common factor (GCF) of 3549 and 3565 is 1.

GCF(3549,3565) = 1

We will now calculate the prime factors of 3549 and 3565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3549 and 3565.

How to find the GCF of 3549 and 3565?

We will first find the prime factorization of 3549 and 3565. After we will calculate the factors of 3549 and 3565 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 3565

Prime factors of 3565 are 5, 23, 31. Prime factorization of 3565 in exponential form is:

3565 = 5¹ × 23¹ × 31¹

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 3565

List of positive integer factors of 3565 that divides 3549 without a remainder.

1, 5, 23, 31, 115, 155, 713

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3549 and 3565. The biggest common factor number is the GCF number.
So the greatest common factor 3549 and 3565 is 1.

Also check out the Least Common Multiple of 3549 and 3565