What is the Greatest Common Factor of 33015 and 33027?

Greatest common factor (GCF) of 33015 and 33027 is 3.

GCF(33015,33027) = 3

We will now calculate the prime factors of 33015 and 33027, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33015 and 33027.

How to find the GCF of 33015 and 33027?

We will first find the prime factorization of 33015 and 33027. After we will calculate the factors of 33015 and 33027 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 33027

Prime factors of 33027 are 3, 101, 109. Prime factorization of 33027 in exponential form is:

33027 = 3¹ × 101¹ × 109¹

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 33027

List of positive integer factors of 33027 that divides 33015 without a remainder.

1, 3, 101, 109, 303, 327, 11009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33015 and 33027. The biggest common factor number is the GCF number.
So the greatest common factor 33015 and 33027 is 3.

Also check out the Least Common Multiple of 33015 and 33027