What is the Greatest Common Factor of 19208 and 19227?

Greatest common factor (GCF) of 19208 and 19227 is 1.

GCF(19208,19227) = 1

We will now calculate the prime factors of 19208 and 19227, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19208 and 19227.

How to find the GCF of 19208 and 19227?

We will first find the prime factorization of 19208 and 19227. After we will calculate the factors of 19208 and 19227 and find the biggest common factor number .

Step-1: Prime Factorization of 19208

Prime factors of 19208 are 2, 7. Prime factorization of 19208 in exponential form is:

19208 = 2³ × 7⁴

Step-2: Prime Factorization of 19227

Prime factors of 19227 are 3, 13, 17, 29. Prime factorization of 19227 in exponential form is:

19227 = 3¹ × 13¹ × 17¹ × 29¹

Step-3: Factors of 19208

List of positive integer factors of 19208 that divides 19208 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 343, 392, 686, 1372, 2401, 2744, 4802, 9604

Step-4: Factors of 19227

List of positive integer factors of 19227 that divides 19208 without a remainder.

1, 3, 13, 17, 29, 39, 51, 87, 221, 377, 493, 663, 1131, 1479, 6409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19208 and 19227. The biggest common factor number is the GCF number.
So the greatest common factor 19208 and 19227 is 1.

Also check out the Least Common Multiple of 19208 and 19227