What is the Greatest Common Factor of 33045 and 33052?

Greatest common factor (GCF) of 33045 and 33052 is 1.

GCF(33045,33052) = 1

We will now calculate the prime factors of 33045 and 33052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33045 and 33052.

How to find the GCF of 33045 and 33052?

We will first find the prime factorization of 33045 and 33052. After we will calculate the factors of 33045 and 33052 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 33052

Prime factors of 33052 are 2, 8263. Prime factorization of 33052 in exponential form is:

33052 = 2² × 8263¹

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 33052

List of positive integer factors of 33052 that divides 33045 without a remainder.

1, 2, 4, 8263, 16526

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33045 and 33052. The biggest common factor number is the GCF number.
So the greatest common factor 33045 and 33052 is 1.

Also check out the Least Common Multiple of 33045 and 33052