What is the Greatest Common Factor of 22208 and 22219?

Greatest common factor (GCF) of 22208 and 22219 is 1.

GCF(22208,22219) = 1

We will now calculate the prime factors of 22208 and 22219, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22208 and 22219.

How to find the GCF of 22208 and 22219?

We will first find the prime factorization of 22208 and 22219. After we will calculate the factors of 22208 and 22219 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 22219

Prime factors of 22219 are 17, 1307. Prime factorization of 22219 in exponential form is:

22219 = 17¹ × 1307¹

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 22219

List of positive integer factors of 22219 that divides 22208 without a remainder.

1, 17, 1307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22208 and 22219. The biggest common factor number is the GCF number.
So the greatest common factor 22208 and 22219 is 1.

Also check out the Least Common Multiple of 22208 and 22219