What is the Greatest Common Factor of 33250 and 33257?

Greatest common factor (GCF) of 33250 and 33257 is 7.

GCF(33250,33257) = 7

We will now calculate the prime factors of 33250 and 33257, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33250 and 33257.

How to find the GCF of 33250 and 33257?

We will first find the prime factorization of 33250 and 33257. After we will calculate the factors of 33250 and 33257 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 33257

Prime factors of 33257 are 7, 4751. Prime factorization of 33257 in exponential form is:

33257 = 7¹ × 4751¹

Step-3: Factors of 33250

List of positive integer factors of 33250 that divides 33250 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

Step-4: Factors of 33257

List of positive integer factors of 33257 that divides 33250 without a remainder.

1, 7, 4751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33250 and 33257. The biggest common factor number is the GCF number.
So the greatest common factor 33250 and 33257 is 7.

Also check out the Least Common Multiple of 33250 and 33257