What is the Greatest Common Factor of 38816 and 38831?

Greatest common factor (GCF) of 38816 and 38831 is 1.

GCF(38816,38831) = 1

We will now calculate the prime factors of 38816 and 38831, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38816 and 38831.

How to find the GCF of 38816 and 38831?

We will first find the prime factorization of 38816 and 38831. After we will calculate the factors of 38816 and 38831 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 38831

Prime factors of 38831 are 13, 29, 103. Prime factorization of 38831 in exponential form is:

38831 = 13¹ × 29¹ × 103¹

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 38831

List of positive integer factors of 38831 that divides 38816 without a remainder.

1, 13, 29, 103, 377, 1339, 2987

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38816 and 38831. The biggest common factor number is the GCF number.
So the greatest common factor 38816 and 38831 is 1.

Also check out the Least Common Multiple of 38816 and 38831