What is the Greatest Common Factor of 38816 and 38833?

Greatest common factor (GCF) of 38816 and 38833 is 1.

GCF(38816,38833) = 1

We will now calculate the prime factors of 38816 and 38833, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38816 and 38833.

How to find the GCF of 38816 and 38833?

We will first find the prime factorization of 38816 and 38833. After we will calculate the factors of 38816 and 38833 and find the biggest common factor number .

Step-1: Prime Factorization of 38816

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

38816 = 2⁵ × 1213¹

Step-2: Prime Factorization of 38833

Prime factors of 38833 are 38833. Prime factorization of 38833 in exponential form is:

38833 = 38833¹

Step-3: Factors of 38816

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

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

Step-4: Factors of 38833

List of positive integer factors of 38833 that divides 38816 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38816 and 38833. The biggest common factor number is the GCF number.
So the greatest common factor 38816 and 38833 is 1.

Also check out the Least Common Multiple of 38816 and 38833