What is the Greatest Common Factor of 22200 and 22207?

Greatest common factor (GCF) of 22200 and 22207 is 1.

GCF(22200,22207) = 1

We will now calculate the prime factors of 22200 and 22207, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22200 and 22207.

How to find the GCF of 22200 and 22207?

We will first find the prime factorization of 22200 and 22207. After we will calculate the factors of 22200 and 22207 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 22207

Prime factors of 22207 are 53, 419. Prime factorization of 22207 in exponential form is:

22207 = 53¹ × 419¹

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 22207

List of positive integer factors of 22207 that divides 22200 without a remainder.

1, 53, 419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22200 and 22207. The biggest common factor number is the GCF number.
So the greatest common factor 22200 and 22207 is 1.

Also check out the Least Common Multiple of 22200 and 22207