What is the Greatest Common Factor of 22200 and 22212?

Greatest common factor (GCF) of 22200 and 22212 is 12.

GCF(22200,22212) = 12

We will now calculate the prime factors of 22200 and 22212, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22200 and 22212.

How to find the GCF of 22200 and 22212?

We will first find the prime factorization of 22200 and 22212. After we will calculate the factors of 22200 and 22212 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 22212

Prime factors of 22212 are 2, 3, 617. Prime factorization of 22212 in exponential form is:

22212 = 2² × 3² × 617¹

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 22212

List of positive integer factors of 22212 that divides 22200 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 617, 1234, 1851, 2468, 3702, 5553, 7404, 11106

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22200 and 22212. The biggest common factor number is the GCF number.
So the greatest common factor 22200 and 22212 is 12.

Also check out the Least Common Multiple of 22200 and 22212