What is the Greatest Common Factor of 33390 and 33405?

Greatest common factor (GCF) of 33390 and 33405 is 15.

GCF(33390,33405) = 15

We will now calculate the prime factors of 33390 and 33405, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33390 and 33405.

How to find the GCF of 33390 and 33405?

We will first find the prime factorization of 33390 and 33405. After we will calculate the factors of 33390 and 33405 and find the biggest common factor number .

Step-1: Prime Factorization of 33390

Prime factors of 33390 are 2, 3, 5, 7, 53. Prime factorization of 33390 in exponential form is:

33390 = 2¹ × 3² × 5¹ × 7¹ × 53¹

Step-2: Prime Factorization of 33405

Prime factors of 33405 are 3, 5, 17, 131. Prime factorization of 33405 in exponential form is:

33405 = 3¹ × 5¹ × 17¹ × 131¹

Step-3: Factors of 33390

List of positive integer factors of 33390 that divides 33390 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 53, 63, 70, 90, 105, 106, 126, 159, 210, 265, 315, 318, 371, 477, 530, 630, 742, 795, 954, 1113, 1590, 1855, 2226, 2385, 3339, 3710, 4770, 5565, 6678, 11130, 16695

Step-4: Factors of 33405

List of positive integer factors of 33405 that divides 33390 without a remainder.

1, 3, 5, 15, 17, 51, 85, 131, 255, 393, 655, 1965, 2227, 6681, 11135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33390 and 33405. The biggest common factor number is the GCF number.
So the greatest common factor 33390 and 33405 is 15.

Also check out the Least Common Multiple of 33390 and 33405