What is the Greatest Common Factor of 38385 and 38403?

Greatest common factor (GCF) of 38385 and 38403 is 9.

GCF(38385,38403) = 9

We will now calculate the prime factors of 38385 and 38403, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38385 and 38403.

How to find the GCF of 38385 and 38403?

We will first find the prime factorization of 38385 and 38403. After we will calculate the factors of 38385 and 38403 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 38403

Prime factors of 38403 are 3, 17, 251. Prime factorization of 38403 in exponential form is:

38403 = 3² × 17¹ × 251¹

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 38403

List of positive integer factors of 38403 that divides 38385 without a remainder.

1, 3, 9, 17, 51, 153, 251, 753, 2259, 4267, 12801

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38385 and 38403. The biggest common factor number is the GCF number.
So the greatest common factor 38385 and 38403 is 9.

Also check out the Least Common Multiple of 38385 and 38403