What is the Greatest Common Factor of 32565 and 32580?

Greatest common factor (GCF) of 32565 and 32580 is 15.

GCF(32565,32580) = 15

We will now calculate the prime factors of 32565 and 32580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32565 and 32580.

How to find the GCF of 32565 and 32580?

We will first find the prime factorization of 32565 and 32580. After we will calculate the factors of 32565 and 32580 and find the biggest common factor number .

Step-1: Prime Factorization of 32565

Prime factors of 32565 are 3, 5, 13, 167. Prime factorization of 32565 in exponential form is:

32565 = 3¹ × 5¹ × 13¹ × 167¹

Step-2: Prime Factorization of 32580

Prime factors of 32580 are 2, 3, 5, 181. Prime factorization of 32580 in exponential form is:

32580 = 2² × 3² × 5¹ × 181¹

Step-3: Factors of 32565

List of positive integer factors of 32565 that divides 32565 without a remainder.

1, 3, 5, 13, 15, 39, 65, 167, 195, 501, 835, 2171, 2505, 6513, 10855

Step-4: Factors of 32580

List of positive integer factors of 32580 that divides 32565 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 181, 362, 543, 724, 905, 1086, 1629, 1810, 2172, 2715, 3258, 3620, 5430, 6516, 8145, 10860, 16290

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32565 and 32580. The biggest common factor number is the GCF number.
So the greatest common factor 32565 and 32580 is 15.

Also check out the Least Common Multiple of 32565 and 32580