What is the Greatest Common Factor of 38805 and 38816?

Greatest common factor (GCF) of 38805 and 38816 is 1.

GCF(38805,38816) = 1

We will now calculate the prime factors of 38805 and 38816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38805 and 38816.

How to find the GCF of 38805 and 38816?

We will first find the prime factorization of 38805 and 38816. After we will calculate the factors of 38805 and 38816 and find the biggest common factor number .

Step-1: Prime Factorization of 38805

Prime factors of 38805 are 3, 5, 13, 199. Prime factorization of 38805 in exponential form is:

38805 = 3¹ × 5¹ × 13¹ × 199¹

Step-2: Prime Factorization of 38816

Prime factors of 38816 are 2, 1213. Prime factorization of 38816 in exponential form is:

38816 = 2⁵ × 1213¹

Step-3: Factors of 38805

List of positive integer factors of 38805 that divides 38805 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 199, 597, 995, 2587, 2985, 7761, 12935

Step-4: Factors of 38816

List of positive integer factors of 38816 that divides 38805 without a remainder.

1, 2, 4, 8, 16, 32, 1213, 2426, 4852, 9704, 19408

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38805 and 38816. The biggest common factor number is the GCF number.
So the greatest common factor 38805 and 38816 is 1.

Also check out the Least Common Multiple of 38805 and 38816