What is the Greatest Common Factor of 19222 and 19229?

Greatest common factor (GCF) of 19222 and 19229 is 7.

GCF(19222,19229) = 7

We will now calculate the prime factors of 19222 and 19229, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19222 and 19229.

How to find the GCF of 19222 and 19229?

We will first find the prime factorization of 19222 and 19229. After we will calculate the factors of 19222 and 19229 and find the biggest common factor number .

Step-1: Prime Factorization of 19222

Prime factors of 19222 are 2, 7, 1373. Prime factorization of 19222 in exponential form is:

19222 = 2¹ × 7¹ × 1373¹

Step-2: Prime Factorization of 19229

Prime factors of 19229 are 7, 41, 67. Prime factorization of 19229 in exponential form is:

19229 = 7¹ × 41¹ × 67¹

Step-3: Factors of 19222

List of positive integer factors of 19222 that divides 19222 without a remainder.

1, 2, 7, 14, 1373, 2746, 9611

Step-4: Factors of 19229

List of positive integer factors of 19229 that divides 19222 without a remainder.

1, 7, 41, 67, 287, 469, 2747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19222 and 19229. The biggest common factor number is the GCF number.
So the greatest common factor 19222 and 19229 is 7.

Also check out the Least Common Multiple of 19222 and 19229