What is the Greatest Common Factor of 17218 and 17222?

Greatest common factor (GCF) of 17218 and 17222 is 2.

GCF(17218,17222) = 2

We will now calculate the prime factors of 17218 and 17222, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17218 and 17222.

How to find the GCF of 17218 and 17222?

We will first find the prime factorization of 17218 and 17222. After we will calculate the factors of 17218 and 17222 and find the biggest common factor number .

Step-1: Prime Factorization of 17218

Prime factors of 17218 are 2, 8609. Prime factorization of 17218 in exponential form is:

17218 = 2¹ × 8609¹

Step-2: Prime Factorization of 17222

Prime factors of 17222 are 2, 79, 109. Prime factorization of 17222 in exponential form is:

17222 = 2¹ × 79¹ × 109¹

Step-3: Factors of 17218

List of positive integer factors of 17218 that divides 17218 without a remainder.

1, 2, 8609

Step-4: Factors of 17222

List of positive integer factors of 17222 that divides 17218 without a remainder.

1, 2, 79, 109, 158, 218, 8611

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17218 and 17222. The biggest common factor number is the GCF number.
So the greatest common factor 17218 and 17222 is 2.

Also check out the Least Common Multiple of 17218 and 17222