What is the Greatest Common Factor of 33008 and 33025?

Greatest common factor (GCF) of 33008 and 33025 is 1.

GCF(33008,33025) = 1

We will now calculate the prime factors of 33008 and 33025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33008 and 33025.

How to find the GCF of 33008 and 33025?

We will first find the prime factorization of 33008 and 33025. After we will calculate the factors of 33008 and 33025 and find the biggest common factor number .

Step-1: Prime Factorization of 33008

Prime factors of 33008 are 2, 2063. Prime factorization of 33008 in exponential form is:

33008 = 2⁴ × 2063¹

Step-2: Prime Factorization of 33025

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

33025 = 5² × 1321¹

Step-3: Factors of 33008

List of positive integer factors of 33008 that divides 33008 without a remainder.

1, 2, 4, 8, 16, 2063, 4126, 8252, 16504

Step-4: Factors of 33025

List of positive integer factors of 33025 that divides 33008 without a remainder.

1, 5, 25, 1321, 6605

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33008 and 33025. The biggest common factor number is the GCF number.
So the greatest common factor 33008 and 33025 is 1.

Also check out the Least Common Multiple of 33008 and 33025