What is the Greatest Common Factor of 22208 and 22217?

Greatest common factor (GCF) of 22208 and 22217 is 1.

GCF(22208,22217) = 1

We will now calculate the prime factors of 22208 and 22217, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22208 and 22217.

How to find the GCF of 22208 and 22217?

We will first find the prime factorization of 22208 and 22217. After we will calculate the factors of 22208 and 22217 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 22217

Prime factors of 22217 are 13, 1709. Prime factorization of 22217 in exponential form is:

22217 = 13¹ × 1709¹

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 22217

List of positive integer factors of 22217 that divides 22208 without a remainder.

1, 13, 1709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22208 and 22217. The biggest common factor number is the GCF number.
So the greatest common factor 22208 and 22217 is 1.

Also check out the Least Common Multiple of 22208 and 22217