What is the Greatest Common Factor of 33015 and 33033?

Greatest common factor (GCF) of 33015 and 33033 is 3.

GCF(33015,33033) = 3

We will now calculate the prime factors of 33015 and 33033, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33015 and 33033.

How to find the GCF of 33015 and 33033?

We will first find the prime factorization of 33015 and 33033. After we will calculate the factors of 33015 and 33033 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 33033

Prime factors of 33033 are 3, 7, 11, 13. Prime factorization of 33033 in exponential form is:

33033 = 3¹ × 7¹ × 11² × 13¹

Step-3: Factors of 33015

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

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

Step-4: Factors of 33033

List of positive integer factors of 33033 that divides 33015 without a remainder.

1, 3, 7, 11, 13, 21, 33, 39, 77, 91, 121, 143, 231, 273, 363, 429, 847, 1001, 1573, 2541, 3003, 4719, 11011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33015 and 33033. The biggest common factor number is the GCF number.
So the greatest common factor 33015 and 33033 is 3.

Also check out the Least Common Multiple of 33015 and 33033