What is the Greatest Common Factor of 21222 and 21229?

Greatest common factor (GCF) of 21222 and 21229 is 1.

GCF(21222,21229) = 1

We will now calculate the prime factors of 21222 and 21229, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21222 and 21229.

How to find the GCF of 21222 and 21229?

We will first find the prime factorization of 21222 and 21229. After we will calculate the factors of 21222 and 21229 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 21229

Prime factors of 21229 are 13, 23, 71. Prime factorization of 21229 in exponential form is:

21229 = 13¹ × 23¹ × 71¹

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 21229

List of positive integer factors of 21229 that divides 21222 without a remainder.

1, 13, 23, 71, 299, 923, 1633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21222 and 21229. The biggest common factor number is the GCF number.
So the greatest common factor 21222 and 21229 is 1.

Also check out the Least Common Multiple of 21222 and 21229