What is the Greatest Common Factor of 33825 and 33836?

Greatest common factor (GCF) of 33825 and 33836 is 11.

GCF(33825,33836) = 11

We will now calculate the prime factors of 33825 and 33836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33825 and 33836.

How to find the GCF of 33825 and 33836?

We will first find the prime factorization of 33825 and 33836. After we will calculate the factors of 33825 and 33836 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 33836

Prime factors of 33836 are 2, 11, 769. Prime factorization of 33836 in exponential form is:

33836 = 2² × 11¹ × 769¹

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 33836

List of positive integer factors of 33836 that divides 33825 without a remainder.

1, 2, 4, 11, 22, 44, 769, 1538, 3076, 8459, 16918

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33825 and 33836. The biggest common factor number is the GCF number.
So the greatest common factor 33825 and 33836 is 11.

Also check out the Least Common Multiple of 33825 and 33836