What is the Greatest Common Factor of 22208 and 22224?

Greatest common factor (GCF) of 22208 and 22224 is 16.

GCF(22208,22224) = 16

We will now calculate the prime factors of 22208 and 22224, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22208 and 22224.

How to find the GCF of 22208 and 22224?

We will first find the prime factorization of 22208 and 22224. After we will calculate the factors of 22208 and 22224 and find the biggest common factor number .

Step-1: Prime Factorization of 22208

Prime factors of 22208 are 2, 347. Prime factorization of 22208 in exponential form is:

22208 = 2⁶ × 347¹

Step-2: Prime Factorization of 22224

Prime factors of 22224 are 2, 3, 463. Prime factorization of 22224 in exponential form is:

22224 = 2⁴ × 3¹ × 463¹

Step-3: Factors of 22208

List of positive integer factors of 22208 that divides 22208 without a remainder.

1, 2, 4, 8, 16, 32, 64, 347, 694, 1388, 2776, 5552, 11104

Step-4: Factors of 22224

List of positive integer factors of 22224 that divides 22208 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 463, 926, 1389, 1852, 2778, 3704, 5556, 7408, 11112

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22208 and 22224. The biggest common factor number is the GCF number.
So the greatest common factor 22208 and 22224 is 16.

Also check out the Least Common Multiple of 22208 and 22224