What is the Greatest Common Factor of 32265 and 32270?

Greatest common factor (GCF) of 32265 and 32270 is 5.

GCF(32265,32270) = 5

We will now calculate the prime factors of 32265 and 32270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32265 and 32270.

How to find the GCF of 32265 and 32270?

We will first find the prime factorization of 32265 and 32270. After we will calculate the factors of 32265 and 32270 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 32270

Prime factors of 32270 are 2, 5, 7, 461. Prime factorization of 32270 in exponential form is:

32270 = 2¹ × 5¹ × 7¹ × 461¹

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 32270

List of positive integer factors of 32270 that divides 32265 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 461, 922, 2305, 3227, 4610, 6454, 16135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32265 and 32270. The biggest common factor number is the GCF number.
So the greatest common factor 32265 and 32270 is 5.

Also check out the Least Common Multiple of 32265 and 32270