What is the Greatest Common Factor of 3549 and 3562?

Greatest common factor (GCF) of 3549 and 3562 is 13.

GCF(3549,3562) = 13

We will now calculate the prime factors of 3549 and 3562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3549 and 3562.

How to find the GCF of 3549 and 3562?

We will first find the prime factorization of 3549 and 3562. After we will calculate the factors of 3549 and 3562 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 3562

Prime factors of 3562 are 2, 13, 137. Prime factorization of 3562 in exponential form is:

3562 = 2¹ × 13¹ × 137¹

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 3562

List of positive integer factors of 3562 that divides 3549 without a remainder.

1, 2, 13, 26, 137, 274, 1781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3549 and 3562. The biggest common factor number is the GCF number.
So the greatest common factor 3549 and 3562 is 13.

Also check out the Least Common Multiple of 3549 and 3562