What is the Greatest Common Factor of 3536 and 3549?

Greatest common factor (GCF) of 3536 and 3549 is 13.

GCF(3536,3549) = 13

We will now calculate the prime factors of 3536 and 3549, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3536 and 3549.

How to find the GCF of 3536 and 3549?

We will first find the prime factorization of 3536 and 3549. After we will calculate the factors of 3536 and 3549 and find the biggest common factor number .

Step-1: Prime Factorization of 3536

Prime factors of 3536 are 2, 13, 17. Prime factorization of 3536 in exponential form is:

3536 = 2⁴ × 13¹ × 17¹

Step-2: 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-3: Factors of 3536

List of positive integer factors of 3536 that divides 3536 without a remainder.

1, 2, 4, 8, 13, 16, 17, 26, 34, 52, 68, 104, 136, 208, 221, 272, 442, 884, 1768

Step-4: Factors of 3549

List of positive integer factors of 3549 that divides 3536 without a remainder.

1, 3, 7, 13, 21, 39, 91, 169, 273, 507, 1183

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3536 and 3549. The biggest common factor number is the GCF number.
So the greatest common factor 3536 and 3549 is 13.

Also check out the Least Common Multiple of 3536 and 3549