What is the Greatest Common Factor of 21222 and 21239?

Greatest common factor (GCF) of 21222 and 21239 is 1.

GCF(21222,21239) = 1

We will now calculate the prime factors of 21222 and 21239, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21222 and 21239.

How to find the GCF of 21222 and 21239?

We will first find the prime factorization of 21222 and 21239. After we will calculate the factors of 21222 and 21239 and find the biggest common factor number .

Step-1: Prime Factorization of 21222

Prime factors of 21222 are 2, 3, 131. Prime factorization of 21222 in exponential form is:

21222 = 2¹ × 3⁴ × 131¹

Step-2: Prime Factorization of 21239

Prime factors of 21239 are 67, 317. Prime factorization of 21239 in exponential form is:

21239 = 67¹ × 317¹

Step-3: Factors of 21222

List of positive integer factors of 21222 that divides 21222 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 131, 162, 262, 393, 786, 1179, 2358, 3537, 7074, 10611

Step-4: Factors of 21239

List of positive integer factors of 21239 that divides 21222 without a remainder.

1, 67, 317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21222 and 21239. The biggest common factor number is the GCF number.
So the greatest common factor 21222 and 21239 is 1.

Also check out the Least Common Multiple of 21222 and 21239