What is the Greatest Common Factor of 33540 and 33549?

Greatest common factor (GCF) of 33540 and 33549 is 3.

GCF(33540,33549) = 3

We will now calculate the prime factors of 33540 and 33549, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33540 and 33549.

How to find the GCF of 33540 and 33549?

We will first find the prime factorization of 33540 and 33549. After we will calculate the factors of 33540 and 33549 and find the biggest common factor number .

Step-1: Prime Factorization of 33540

Prime factors of 33540 are 2, 3, 5, 13, 43. Prime factorization of 33540 in exponential form is:

33540 = 2² × 3¹ × 5¹ × 13¹ × 43¹

Step-2: Prime Factorization of 33549

Prime factors of 33549 are 3, 53, 211. Prime factorization of 33549 in exponential form is:

33549 = 3¹ × 53¹ × 211¹

Step-3: Factors of 33540

List of positive integer factors of 33540 that divides 33540 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 43, 52, 60, 65, 78, 86, 129, 130, 156, 172, 195, 215, 258, 260, 390, 430, 516, 559, 645, 780, 860, 1118, 1290, 1677, 2236, 2580, 2795, 3354, 5590, 6708, 8385, 11180, 16770

Step-4: Factors of 33549

List of positive integer factors of 33549 that divides 33540 without a remainder.

1, 3, 53, 159, 211, 633, 11183

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33540 and 33549. The biggest common factor number is the GCF number.
So the greatest common factor 33540 and 33549 is 3.

Also check out the Least Common Multiple of 33540 and 33549