What is the Greatest Common Factor of 38442 and 38447?

Greatest common factor (GCF) of 38442 and 38447 is 1.

GCF(38442,38447) = 1

We will now calculate the prime factors of 38442 and 38447, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38442 and 38447.

How to find the GCF of 38442 and 38447?

We will first find the prime factorization of 38442 and 38447. After we will calculate the factors of 38442 and 38447 and find the biggest common factor number .

Step-1: Prime Factorization of 38442

Prime factors of 38442 are 2, 3, 43, 149. Prime factorization of 38442 in exponential form is:

38442 = 2¹ × 3¹ × 43¹ × 149¹

Step-2: Prime Factorization of 38447

Prime factors of 38447 are 38447. Prime factorization of 38447 in exponential form is:

38447 = 38447¹

Step-3: Factors of 38442

List of positive integer factors of 38442 that divides 38442 without a remainder.

1, 2, 3, 6, 43, 86, 129, 149, 258, 298, 447, 894, 6407, 12814, 19221

Step-4: Factors of 38447

List of positive integer factors of 38447 that divides 38442 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38442 and 38447. The biggest common factor number is the GCF number.
So the greatest common factor 38442 and 38447 is 1.

Also check out the Least Common Multiple of 38442 and 38447