What is the Greatest Common Factor of 32988 and 33000?

Greatest common factor (GCF) of 32988 and 33000 is 12.

GCF(32988,33000) = 12

We will now calculate the prime factors of 32988 and 33000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32988 and 33000.

How to find the GCF of 32988 and 33000?

We will first find the prime factorization of 32988 and 33000. After we will calculate the factors of 32988 and 33000 and find the biggest common factor number .

Step-1: Prime Factorization of 32988

Prime factors of 32988 are 2, 3, 2749. Prime factorization of 32988 in exponential form is:

32988 = 2² × 3¹ × 2749¹

Step-2: 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-3: Factors of 32988

List of positive integer factors of 32988 that divides 32988 without a remainder.

1, 2, 3, 4, 6, 12, 2749, 5498, 8247, 10996, 16494

Step-4: Factors of 33000

List of positive integer factors of 33000 that divides 32988 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32988 and 33000. The biggest common factor number is the GCF number.
So the greatest common factor 32988 and 33000 is 12.

Also check out the Least Common Multiple of 32988 and 33000