What is the Greatest Common Factor of 33044 and 33050?

Greatest common factor (GCF) of 33044 and 33050 is 2.

GCF(33044,33050) = 2

We will now calculate the prime factors of 33044 and 33050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33044 and 33050.

How to find the GCF of 33044 and 33050?

We will first find the prime factorization of 33044 and 33050. After we will calculate the factors of 33044 and 33050 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 33050

Prime factors of 33050 are 2, 5, 661. Prime factorization of 33050 in exponential form is:

33050 = 2¹ × 5² × 661¹

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 33050

List of positive integer factors of 33050 that divides 33044 without a remainder.

1, 2, 5, 10, 25, 50, 661, 1322, 3305, 6610, 16525

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33044 and 33050. The biggest common factor number is the GCF number.
So the greatest common factor 33044 and 33050 is 2.

Also check out the Least Common Multiple of 33044 and 33050