What is the Greatest Common Factor of 32220 and 32229?

Greatest common factor (GCF) of 32220 and 32229 is 9.

GCF(32220,32229) = 9

We will now calculate the prime factors of 32220 and 32229, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32220 and 32229.

How to find the GCF of 32220 and 32229?

We will first find the prime factorization of 32220 and 32229. After we will calculate the factors of 32220 and 32229 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 32229

Prime factors of 32229 are 3, 3581. Prime factorization of 32229 in exponential form is:

32229 = 3² × 3581¹

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 32229

List of positive integer factors of 32229 that divides 32220 without a remainder.

1, 3, 9, 3581, 10743

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32220 and 32229. The biggest common factor number is the GCF number.
So the greatest common factor 32220 and 32229 is 9.

Also check out the Least Common Multiple of 32220 and 32229