What is the Greatest Common Factor of 32220 and 32235?

Greatest common factor (GCF) of 32220 and 32235 is 15.

GCF(32220,32235) = 15

We will now calculate the prime factors of 32220 and 32235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32220 and 32235.

How to find the GCF of 32220 and 32235?

We will first find the prime factorization of 32220 and 32235. After we will calculate the factors of 32220 and 32235 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 32235

Prime factors of 32235 are 3, 5, 7, 307. Prime factorization of 32235 in exponential form is:

32235 = 3¹ × 5¹ × 7¹ × 307¹

Step-3: Factors of 32220

List of positive integer factors of 32220 that divides 32220 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

Step-4: Factors of 32235

List of positive integer factors of 32235 that divides 32220 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 307, 921, 1535, 2149, 4605, 6447, 10745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32220 and 32235. The biggest common factor number is the GCF number.
So the greatest common factor 32220 and 32235 is 15.

Also check out the Least Common Multiple of 32220 and 32235