What is the Greatest Common Factor of 32200 and 32220?

Greatest common factor (GCF) of 32200 and 32220 is 20.

GCF(32200,32220) = 20

We will now calculate the prime factors of 32200 and 32220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32200 and 32220.

How to find the GCF of 32200 and 32220?

We will first find the prime factorization of 32200 and 32220. After we will calculate the factors of 32200 and 32220 and find the biggest common factor number .

Step-1: Prime Factorization of 32200

Prime factors of 32200 are 2, 5, 7, 23. Prime factorization of 32200 in exponential form is:

32200 = 2³ × 5² × 7¹ × 23¹

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 32200

List of positive integer factors of 32200 that divides 32200 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 23, 25, 28, 35, 40, 46, 50, 56, 70, 92, 100, 115, 140, 161, 175, 184, 200, 230, 280, 322, 350, 460, 575, 644, 700, 805, 920, 1150, 1288, 1400, 1610, 2300, 3220, 4025, 4600, 6440, 8050, 16100

Step-4: Factors of 32220

List of positive integer factors of 32220 that divides 32200 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 32200 and 32220. The biggest common factor number is the GCF number.
So the greatest common factor 32200 and 32220 is 20.

Also check out the Least Common Multiple of 32200 and 32220