What is the Greatest Common Factor of 32220 and 32238?

Greatest common factor (GCF) of 32220 and 32238 is 18.

GCF(32220,32238) = 18

We will now calculate the prime factors of 32220 and 32238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32220 and 32238.

How to find the GCF of 32220 and 32238?

We will first find the prime factorization of 32220 and 32238. After we will calculate the factors of 32220 and 32238 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 32238

Prime factors of 32238 are 2, 3, 199. Prime factorization of 32238 in exponential form is:

32238 = 2¹ × 3⁴ × 199¹

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 32238

List of positive integer factors of 32238 that divides 32220 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 199, 398, 597, 1194, 1791, 3582, 5373, 10746, 16119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32220 and 32238. The biggest common factor number is the GCF number.
So the greatest common factor 32220 and 32238 is 18.

Also check out the Least Common Multiple of 32220 and 32238