What is the Greatest Common Factor of 33025 and 33030?

Greatest common factor (GCF) of 33025 and 33030 is 5.

GCF(33025,33030) = 5

We will now calculate the prime factors of 33025 and 33030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33025 and 33030.

How to find the GCF of 33025 and 33030?

We will first find the prime factorization of 33025 and 33030. After we will calculate the factors of 33025 and 33030 and find the biggest common factor number .

Step-1: Prime Factorization of 33025

Prime factors of 33025 are 5, 1321. Prime factorization of 33025 in exponential form is:

33025 = 5² × 1321¹

Step-2: Prime Factorization of 33030

Prime factors of 33030 are 2, 3, 5, 367. Prime factorization of 33030 in exponential form is:

33030 = 2¹ × 3² × 5¹ × 367¹

Step-3: Factors of 33025

List of positive integer factors of 33025 that divides 33025 without a remainder.

1, 5, 25, 1321, 6605

Step-4: Factors of 33030

List of positive integer factors of 33030 that divides 33025 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 367, 734, 1101, 1835, 2202, 3303, 3670, 5505, 6606, 11010, 16515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33025 and 33030. The biggest common factor number is the GCF number.
So the greatest common factor 33025 and 33030 is 5.

Also check out the Least Common Multiple of 33025 and 33030