What is the Greatest Common Factor of 32205 and 32220?

Greatest common factor (GCF) of 32205 and 32220 is 15.

GCF(32205,32220) = 15

We will now calculate the prime factors of 32205 and 32220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32205 and 32220.

How to find the GCF of 32205 and 32220?

We will first find the prime factorization of 32205 and 32220. After we will calculate the factors of 32205 and 32220 and find the biggest common factor number .

Step-1: Prime Factorization of 32205

Prime factors of 32205 are 3, 5, 19, 113. Prime factorization of 32205 in exponential form is:

32205 = 3¹ × 5¹ × 19¹ × 113¹

Step-2: Prime Factorization of 32220

Prime factors of 32220 are 2, 3, 5, 179. Prime factorization of 32220 in exponential form is:

32220 = 2² × 3² × 5¹ × 179¹

Step-3: Factors of 32205

List of positive integer factors of 32205 that divides 32205 without a remainder.

1, 3, 5, 15, 19, 57, 95, 113, 285, 339, 565, 1695, 2147, 6441, 10735

Step-4: Factors of 32220

List of positive integer factors of 32220 that divides 32205 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 179, 180, 358, 537, 716, 895, 1074, 1611, 1790, 2148, 2685, 3222, 3580, 5370, 6444, 8055, 10740, 16110

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32205 and 32220. The biggest common factor number is the GCF number.
So the greatest common factor 32205 and 32220 is 15.

Also check out the Least Common Multiple of 32205 and 32220