What is the Greatest Common Factor of 22200 and 22205?

Greatest common factor (GCF) of 22200 and 22205 is 5.

GCF(22200,22205) = 5

We will now calculate the prime factors of 22200 and 22205, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22200 and 22205.

How to find the GCF of 22200 and 22205?

We will first find the prime factorization of 22200 and 22205. After we will calculate the factors of 22200 and 22205 and find the biggest common factor number .

Step-1: Prime Factorization of 22200

Prime factors of 22200 are 2, 3, 5, 37. Prime factorization of 22200 in exponential form is:

22200 = 2³ × 3¹ × 5² × 37¹

Step-2: Prime Factorization of 22205

Prime factors of 22205 are 5, 4441. Prime factorization of 22205 in exponential form is:

22205 = 5¹ × 4441¹

Step-3: Factors of 22200

List of positive integer factors of 22200 that divides 22200 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 37, 40, 50, 60, 74, 75, 100, 111, 120, 148, 150, 185, 200, 222, 296, 300, 370, 444, 555, 600, 740, 888, 925, 1110, 1480, 1850, 2220, 2775, 3700, 4440, 5550, 7400, 11100

Step-4: Factors of 22205

List of positive integer factors of 22205 that divides 22200 without a remainder.

1, 5, 4441

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22200 and 22205. The biggest common factor number is the GCF number.
So the greatest common factor 22200 and 22205 is 5.

Also check out the Least Common Multiple of 22200 and 22205