What is the Greatest Common Factor of 33000 and 33009?

Greatest common factor (GCF) of 33000 and 33009 is 3.

GCF(33000,33009) = 3

We will now calculate the prime factors of 33000 and 33009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33000 and 33009.

How to find the GCF of 33000 and 33009?

We will first find the prime factorization of 33000 and 33009. After we will calculate the factors of 33000 and 33009 and find the biggest common factor number .

Step-1: Prime Factorization of 33000

Prime factors of 33000 are 2, 3, 5, 11. Prime factorization of 33000 in exponential form is:

33000 = 2³ × 3¹ × 5³ × 11¹

Step-2: Prime Factorization of 33009

Prime factors of 33009 are 3, 11003. Prime factorization of 33009 in exponential form is:

33009 = 3¹ × 11003¹

Step-3: Factors of 33000

List of positive integer factors of 33000 that divides 33000 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 25, 30, 33, 40, 44, 50, 55, 60, 66, 75, 88, 100, 110, 120, 125, 132, 150, 165, 200, 220, 250, 264, 275, 300, 330, 375, 440, 500, 550, 600, 660, 750, 825, 1000, 1100, 1320, 1375, 1500, 1650, 2200, 2750, 3000, 3300, 4125, 5500, 6600, 8250, 11000, 16500

Step-4: Factors of 33009

List of positive integer factors of 33009 that divides 33000 without a remainder.

1, 3, 11003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33000 and 33009. The biggest common factor number is the GCF number.
So the greatest common factor 33000 and 33009 is 3.

Also check out the Least Common Multiple of 33000 and 33009