What is the Greatest Common Factor of 33405 and 33417?

Greatest common factor (GCF) of 33405 and 33417 is 3.

GCF(33405,33417) = 3

We will now calculate the prime factors of 33405 and 33417, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33405 and 33417.

How to find the GCF of 33405 and 33417?

We will first find the prime factorization of 33405 and 33417. After we will calculate the factors of 33405 and 33417 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 33417

Prime factors of 33417 are 3, 47, 79. Prime factorization of 33417 in exponential form is:

33417 = 3² × 47¹ × 79¹

Step-3: Factors of 33405

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

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

Step-4: Factors of 33417

List of positive integer factors of 33417 that divides 33405 without a remainder.

1, 3, 9, 47, 79, 141, 237, 423, 711, 3713, 11139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33405 and 33417. The biggest common factor number is the GCF number.
So the greatest common factor 33405 and 33417 is 3.

Also check out the Least Common Multiple of 33405 and 33417