What is the Greatest Common Factor of 38385 and 38401?

Greatest common factor (GCF) of 38385 and 38401 is 1.

GCF(38385,38401) = 1

We will now calculate the prime factors of 38385 and 38401, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38385 and 38401.

How to find the GCF of 38385 and 38401?

We will first find the prime factorization of 38385 and 38401. After we will calculate the factors of 38385 and 38401 and find the biggest common factor number .

Step-1: Prime Factorization of 38385

Prime factors of 38385 are 3, 5, 853. Prime factorization of 38385 in exponential form is:

38385 = 3² × 5¹ × 853¹

Step-2: Prime Factorization of 38401

Prime factors of 38401 are 11, 3491. Prime factorization of 38401 in exponential form is:

38401 = 11¹ × 3491¹

Step-3: Factors of 38385

List of positive integer factors of 38385 that divides 38385 without a remainder.

1, 3, 5, 9, 15, 45, 853, 2559, 4265, 7677, 12795

Step-4: Factors of 38401

List of positive integer factors of 38401 that divides 38385 without a remainder.

1, 11, 3491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38385 and 38401. The biggest common factor number is the GCF number.
So the greatest common factor 38385 and 38401 is 1.

Also check out the Least Common Multiple of 38385 and 38401