What is the Greatest Common Factor of 33291 and 33300?

Greatest common factor (GCF) of 33291 and 33300 is 9.

GCF(33291,33300) = 9

We will now calculate the prime factors of 33291 and 33300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33291 and 33300.

How to find the GCF of 33291 and 33300?

We will first find the prime factorization of 33291 and 33300. After we will calculate the factors of 33291 and 33300 and find the biggest common factor number .

Step-1: Prime Factorization of 33291

Prime factors of 33291 are 3, 137. Prime factorization of 33291 in exponential form is:

33291 = 3⁵ × 137¹

Step-2: Prime Factorization of 33300

Prime factors of 33300 are 2, 3, 5, 37. Prime factorization of 33300 in exponential form is:

33300 = 2² × 3² × 5² × 37¹

Step-3: Factors of 33291

List of positive integer factors of 33291 that divides 33291 without a remainder.

1, 3, 9, 27, 81, 137, 243, 411, 1233, 3699, 11097

Step-4: Factors of 33300

List of positive integer factors of 33300 that divides 33291 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 37, 45, 50, 60, 74, 75, 90, 100, 111, 148, 150, 180, 185, 222, 225, 300, 333, 370, 444, 450, 555, 666, 740, 900, 925, 1110, 1332, 1665, 1850, 2220, 2775, 3330, 3700, 5550, 6660, 8325, 11100, 16650

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33291 and 33300. The biggest common factor number is the GCF number.
So the greatest common factor 33291 and 33300 is 9.

Also check out the Least Common Multiple of 33291 and 33300