What is the Greatest Common Factor of 33825 and 33838?

Greatest common factor (GCF) of 33825 and 33838 is 1.

GCF(33825,33838) = 1

We will now calculate the prime factors of 33825 and 33838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33825 and 33838.

How to find the GCF of 33825 and 33838?

We will first find the prime factorization of 33825 and 33838. After we will calculate the factors of 33825 and 33838 and find the biggest common factor number .

Step-1: Prime Factorization of 33825

Prime factors of 33825 are 3, 5, 11, 41. Prime factorization of 33825 in exponential form is:

33825 = 3¹ × 5² × 11¹ × 41¹

Step-2: Prime Factorization of 33838

Prime factors of 33838 are 2, 7, 2417. Prime factorization of 33838 in exponential form is:

33838 = 2¹ × 7¹ × 2417¹

Step-3: Factors of 33825

List of positive integer factors of 33825 that divides 33825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 41, 55, 75, 123, 165, 205, 275, 451, 615, 825, 1025, 1353, 2255, 3075, 6765, 11275

Step-4: Factors of 33838

List of positive integer factors of 33838 that divides 33825 without a remainder.

1, 2, 7, 14, 2417, 4834, 16919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33825 and 33838. The biggest common factor number is the GCF number.
So the greatest common factor 33825 and 33838 is 1.

Also check out the Least Common Multiple of 33825 and 33838