What is the Greatest Common Factor of 33241 and 33250?

Greatest common factor (GCF) of 33241 and 33250 is 1.

GCF(33241,33250) = 1

We will now calculate the prime factors of 33241 and 33250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33241 and 33250.

How to find the GCF of 33241 and 33250?

We will first find the prime factorization of 33241 and 33250. After we will calculate the factors of 33241 and 33250 and find the biggest common factor number .

Step-1: Prime Factorization of 33241

Prime factors of 33241 are 13, 2557. Prime factorization of 33241 in exponential form is:

33241 = 13¹ × 2557¹

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 33241

List of positive integer factors of 33241 that divides 33241 without a remainder.

1, 13, 2557

Step-4: Factors of 33250

List of positive integer factors of 33250 that divides 33241 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 33241 and 33250. The biggest common factor number is the GCF number.
So the greatest common factor 33241 and 33250 is 1.

Also check out the Least Common Multiple of 33241 and 33250