What is the Greatest Common Factor of 33044 and 33055?

Greatest common factor (GCF) of 33044 and 33055 is 11.

GCF(33044,33055) = 11

We will now calculate the prime factors of 33044 and 33055, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33044 and 33055.

How to find the GCF of 33044 and 33055?

We will first find the prime factorization of 33044 and 33055. After we will calculate the factors of 33044 and 33055 and find the biggest common factor number .

Step-1: Prime Factorization of 33044

Prime factors of 33044 are 2, 11, 751. Prime factorization of 33044 in exponential form is:

33044 = 2² × 11¹ × 751¹

Step-2: Prime Factorization of 33055

Prime factors of 33055 are 5, 11, 601. Prime factorization of 33055 in exponential form is:

33055 = 5¹ × 11¹ × 601¹

Step-3: Factors of 33044

List of positive integer factors of 33044 that divides 33044 without a remainder.

1, 2, 4, 11, 22, 44, 751, 1502, 3004, 8261, 16522

Step-4: Factors of 33055

List of positive integer factors of 33055 that divides 33044 without a remainder.

1, 5, 11, 55, 601, 3005, 6611

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33044 and 33055. The biggest common factor number is the GCF number.
So the greatest common factor 33044 and 33055 is 11.

Also check out the Least Common Multiple of 33044 and 33055