What is the Greatest Common Factor of 32265 and 32269?

Greatest common factor (GCF) of 32265 and 32269 is 1.

GCF(32265,32269) = 1

We will now calculate the prime factors of 32265 and 32269, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32265 and 32269.

How to find the GCF of 32265 and 32269?

We will first find the prime factorization of 32265 and 32269. After we will calculate the factors of 32265 and 32269 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 32269

Prime factors of 32269 are 23, 61. Prime factorization of 32269 in exponential form is:

32269 = 23² × 61¹

Step-3: Factors of 32265

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

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

Step-4: Factors of 32269

List of positive integer factors of 32269 that divides 32265 without a remainder.

1, 23, 61, 529, 1403

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32265 and 32269. The biggest common factor number is the GCF number.
So the greatest common factor 32265 and 32269 is 1.

Also check out the Least Common Multiple of 32265 and 32269