What is the Greatest Common Factor of 33045 and 33051?

Greatest common factor (GCF) of 33045 and 33051 is 3.

GCF(33045,33051) = 3

We will now calculate the prime factors of 33045 and 33051, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33045 and 33051.

How to find the GCF of 33045 and 33051?

We will first find the prime factorization of 33045 and 33051. After we will calculate the factors of 33045 and 33051 and find the biggest common factor number .

Step-1: Prime Factorization of 33045

Prime factors of 33045 are 3, 5, 2203. Prime factorization of 33045 in exponential form is:

33045 = 3¹ × 5¹ × 2203¹

Step-2: Prime Factorization of 33051

Prime factors of 33051 are 3, 23, 479. Prime factorization of 33051 in exponential form is:

33051 = 3¹ × 23¹ × 479¹

Step-3: Factors of 33045

List of positive integer factors of 33045 that divides 33045 without a remainder.

1, 3, 5, 15, 2203, 6609, 11015

Step-4: Factors of 33051

List of positive integer factors of 33051 that divides 33045 without a remainder.

1, 3, 23, 69, 479, 1437, 11017

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33045 and 33051. The biggest common factor number is the GCF number.
So the greatest common factor 33045 and 33051 is 3.

Also check out the Least Common Multiple of 33045 and 33051