What is the Greatest Common Factor of 33025 and 33035?

Greatest common factor (GCF) of 33025 and 33035 is 5.

GCF(33025,33035) = 5

We will now calculate the prime factors of 33025 and 33035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33025 and 33035.

How to find the GCF of 33025 and 33035?

We will first find the prime factorization of 33025 and 33035. After we will calculate the factors of 33025 and 33035 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 33035

Prime factors of 33035 are 5, 6607. Prime factorization of 33035 in exponential form is:

33035 = 5¹ × 6607¹

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 33035

List of positive integer factors of 33035 that divides 33025 without a remainder.

1, 5, 6607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33025 and 33035. The biggest common factor number is the GCF number.
So the greatest common factor 33025 and 33035 is 5.

Also check out the Least Common Multiple of 33025 and 33035