What is the Greatest Common Factor of 21222 and 21238?

Greatest common factor (GCF) of 21222 and 21238 is 2.

GCF(21222,21238) = 2

We will now calculate the prime factors of 21222 and 21238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21222 and 21238.

How to find the GCF of 21222 and 21238?

We will first find the prime factorization of 21222 and 21238. After we will calculate the factors of 21222 and 21238 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 21238

Prime factors of 21238 are 2, 7, 37, 41. Prime factorization of 21238 in exponential form is:

21238 = 2¹ × 7¹ × 37¹ × 41¹

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 21238

List of positive integer factors of 21238 that divides 21222 without a remainder.

1, 2, 7, 14, 37, 41, 74, 82, 259, 287, 518, 574, 1517, 3034, 10619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21222 and 21238. The biggest common factor number is the GCF number.
So the greatest common factor 21222 and 21238 is 2.

Also check out the Least Common Multiple of 21222 and 21238