What is the Greatest Common Factor of 21222 and 21227?

Greatest common factor (GCF) of 21222 and 21227 is 1.

GCF(21222,21227) = 1

We will now calculate the prime factors of 21222 and 21227, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21222 and 21227.

How to find the GCF of 21222 and 21227?

We will first find the prime factorization of 21222 and 21227. After we will calculate the factors of 21222 and 21227 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 21227

Prime factors of 21227 are 21227. Prime factorization of 21227 in exponential form is:

21227 = 21227¹

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 21227

List of positive integer factors of 21227 that divides 21222 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21222 and 21227. The biggest common factor number is the GCF number.
So the greatest common factor 21222 and 21227 is 1.

Also check out the Least Common Multiple of 21222 and 21227