What is the Greatest Common Factor of 19216 and 19229?

Greatest common factor (GCF) of 19216 and 19229 is 1.

GCF(19216,19229) = 1

We will now calculate the prime factors of 19216 and 19229, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19216 and 19229.

How to find the GCF of 19216 and 19229?

We will first find the prime factorization of 19216 and 19229. After we will calculate the factors of 19216 and 19229 and find the biggest common factor number .

Step-1: Prime Factorization of 19216

Prime factors of 19216 are 2, 1201. Prime factorization of 19216 in exponential form is:

19216 = 2⁴ × 1201¹

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 19216

List of positive integer factors of 19216 that divides 19216 without a remainder.

1, 2, 4, 8, 16, 1201, 2402, 4804, 9608

Step-4: Factors of 19229

List of positive integer factors of 19229 that divides 19216 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19216 and 19229. The biggest common factor number is the GCF number.
So the greatest common factor 19216 and 19229 is 1.

Also check out the Least Common Multiple of 19216 and 19229