What is the Greatest Common Factor of 32133 and 32145?

Greatest common factor (GCF) of 32133 and 32145 is 3.

GCF(32133,32145) = 3

We will now calculate the prime factors of 32133 and 32145, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32133 and 32145.

How to find the GCF of 32133 and 32145?

We will first find the prime factorization of 32133 and 32145. After we will calculate the factors of 32133 and 32145 and find the biggest common factor number .

Step-1: Prime Factorization of 32133

Prime factors of 32133 are 3, 10711. Prime factorization of 32133 in exponential form is:

32133 = 3¹ × 10711¹

Step-2: Prime Factorization of 32145

Prime factors of 32145 are 3, 5, 2143. Prime factorization of 32145 in exponential form is:

32145 = 3¹ × 5¹ × 2143¹

Step-3: Factors of 32133

List of positive integer factors of 32133 that divides 32133 without a remainder.

1, 3, 10711

Step-4: Factors of 32145

List of positive integer factors of 32145 that divides 32133 without a remainder.

1, 3, 5, 15, 2143, 6429, 10715

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32133 and 32145. The biggest common factor number is the GCF number.
So the greatest common factor 32133 and 32145 is 3.

Also check out the Least Common Multiple of 32133 and 32145