What is the Greatest Common Factor of 38418 and 38429?

Greatest common factor (GCF) of 38418 and 38429 is 1.

GCF(38418,38429) = 1

We will now calculate the prime factors of 38418 and 38429, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38418 and 38429.

How to find the GCF of 38418 and 38429?

We will first find the prime factorization of 38418 and 38429. After we will calculate the factors of 38418 and 38429 and find the biggest common factor number .

Step-1: Prime Factorization of 38418

Prime factors of 38418 are 2, 3, 19, 337. Prime factorization of 38418 in exponential form is:

38418 = 2¹ × 3¹ × 19¹ × 337¹

Step-2: Prime Factorization of 38429

Prime factors of 38429 are 83, 463. Prime factorization of 38429 in exponential form is:

38429 = 83¹ × 463¹

Step-3: Factors of 38418

List of positive integer factors of 38418 that divides 38418 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 337, 674, 1011, 2022, 6403, 12806, 19209

Step-4: Factors of 38429

List of positive integer factors of 38429 that divides 38418 without a remainder.

1, 83, 463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38418 and 38429. The biggest common factor number is the GCF number.
So the greatest common factor 38418 and 38429 is 1.

Also check out the Least Common Multiple of 38418 and 38429