What is the Greatest Common Factor of 33234 and 33250?

Greatest common factor (GCF) of 33234 and 33250 is 2.

GCF(33234,33250) = 2

We will now calculate the prime factors of 33234 and 33250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33234 and 33250.

How to find the GCF of 33234 and 33250?

We will first find the prime factorization of 33234 and 33250. After we will calculate the factors of 33234 and 33250 and find the biggest common factor number .

Step-1: Prime Factorization of 33234

Prime factors of 33234 are 2, 3, 29, 191. Prime factorization of 33234 in exponential form is:

33234 = 2¹ × 3¹ × 29¹ × 191¹

Step-2: Prime Factorization of 33250

Prime factors of 33250 are 2, 5, 7, 19. Prime factorization of 33250 in exponential form is:

33250 = 2¹ × 5³ × 7¹ × 19¹

Step-3: Factors of 33234

List of positive integer factors of 33234 that divides 33234 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 191, 382, 573, 1146, 5539, 11078, 16617

Step-4: Factors of 33250

List of positive integer factors of 33250 that divides 33234 without a remainder.

1, 2, 5, 7, 10, 14, 19, 25, 35, 38, 50, 70, 95, 125, 133, 175, 190, 250, 266, 350, 475, 665, 875, 950, 1330, 1750, 2375, 3325, 4750, 6650, 16625

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33234 and 33250. The biggest common factor number is the GCF number.
So the greatest common factor 33234 and 33250 is 2.

Also check out the Least Common Multiple of 33234 and 33250