What is the Greatest Common Factor of 33000 and 33015?

Greatest common factor (GCF) of 33000 and 33015 is 15.

GCF(33000,33015) = 15

We will now calculate the prime factors of 33000 and 33015, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33000 and 33015.

How to find the GCF of 33000 and 33015?

We will first find the prime factorization of 33000 and 33015. After we will calculate the factors of 33000 and 33015 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 33015

Prime factors of 33015 are 3, 5, 31, 71. Prime factorization of 33015 in exponential form is:

33015 = 3¹ × 5¹ × 31¹ × 71¹

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 33015

List of positive integer factors of 33015 that divides 33000 without a remainder.

1, 3, 5, 15, 31, 71, 93, 155, 213, 355, 465, 1065, 2201, 6603, 11005

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33000 and 33015. The biggest common factor number is the GCF number.
So the greatest common factor 33000 and 33015 is 15.

Also check out the Least Common Multiple of 33000 and 33015