What is the Greatest Common Factor of 33667 and 33675?

Greatest common factor (GCF) of 33667 and 33675 is 1.

GCF(33667,33675) = 1

We will now calculate the prime factors of 33667 and 33675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33667 and 33675.

How to find the GCF of 33667 and 33675?

We will first find the prime factorization of 33667 and 33675. After we will calculate the factors of 33667 and 33675 and find the biggest common factor number .

Step-1: Prime Factorization of 33667

Prime factors of 33667 are 131, 257. Prime factorization of 33667 in exponential form is:

33667 = 131¹ × 257¹

Step-2: Prime Factorization of 33675

Prime factors of 33675 are 3, 5, 449. Prime factorization of 33675 in exponential form is:

33675 = 3¹ × 5² × 449¹

Step-3: Factors of 33667

List of positive integer factors of 33667 that divides 33667 without a remainder.

1, 131, 257

Step-4: Factors of 33675

List of positive integer factors of 33675 that divides 33667 without a remainder.

1, 3, 5, 15, 25, 75, 449, 1347, 2245, 6735, 11225

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33667 and 33675. The biggest common factor number is the GCF number.
So the greatest common factor 33667 and 33675 is 1.

Also check out the Least Common Multiple of 33667 and 33675