What is the Greatest Common Factor of 32259 and 32265?

Greatest common factor (GCF) of 32259 and 32265 is 3.

GCF(32259,32265) = 3

We will now calculate the prime factors of 32259 and 32265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32259 and 32265.

How to find the GCF of 32259 and 32265?

We will first find the prime factorization of 32259 and 32265. After we will calculate the factors of 32259 and 32265 and find the biggest common factor number .

Step-1: Prime Factorization of 32259

Prime factors of 32259 are 3, 10753. Prime factorization of 32259 in exponential form is:

32259 = 3¹ × 10753¹

Step-2: Prime Factorization of 32265

Prime factors of 32265 are 3, 5, 239. Prime factorization of 32265 in exponential form is:

32265 = 3³ × 5¹ × 239¹

Step-3: Factors of 32259

List of positive integer factors of 32259 that divides 32259 without a remainder.

1, 3, 10753

Step-4: Factors of 32265

List of positive integer factors of 32265 that divides 32259 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 239, 717, 1195, 2151, 3585, 6453, 10755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32259 and 32265. The biggest common factor number is the GCF number.
So the greatest common factor 32259 and 32265 is 3.

Also check out the Least Common Multiple of 32259 and 32265