What is the Greatest Common Factor of 33815 and 33825?

Greatest common factor (GCF) of 33815 and 33825 is 5.

GCF(33815,33825) = 5

We will now calculate the prime factors of 33815 and 33825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33815 and 33825.

How to find the GCF of 33815 and 33825?

We will first find the prime factorization of 33815 and 33825. After we will calculate the factors of 33815 and 33825 and find the biggest common factor number .

Step-1: Prime Factorization of 33815

Prime factors of 33815 are 5, 6763. Prime factorization of 33815 in exponential form is:

33815 = 5¹ × 6763¹

Step-2: 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-3: Factors of 33815

List of positive integer factors of 33815 that divides 33815 without a remainder.

1, 5, 6763

Step-4: Factors of 33825

List of positive integer factors of 33825 that divides 33815 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33815 and 33825. The biggest common factor number is the GCF number.
So the greatest common factor 33815 and 33825 is 5.

Also check out the Least Common Multiple of 33815 and 33825