What is the Greatest Common Factor of 22217 and 22228?

Greatest common factor (GCF) of 22217 and 22228 is 1.

GCF(22217,22228) = 1

We will now calculate the prime factors of 22217 and 22228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22217 and 22228.

How to find the GCF of 22217 and 22228?

We will first find the prime factorization of 22217 and 22228. After we will calculate the factors of 22217 and 22228 and find the biggest common factor number .

Step-1: Prime Factorization of 22217

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

22217 = 13¹ × 1709¹

Step-2: Prime Factorization of 22228

Prime factors of 22228 are 2, 5557. Prime factorization of 22228 in exponential form is:

22228 = 2² × 5557¹

Step-3: Factors of 22217

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

1, 13, 1709

Step-4: Factors of 22228

List of positive integer factors of 22228 that divides 22217 without a remainder.

1, 2, 4, 5557, 11114

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22217 and 22228. The biggest common factor number is the GCF number.
So the greatest common factor 22217 and 22228 is 1.

Also check out the Least Common Multiple of 22217 and 22228