What is the Greatest Common Factor of 38816 and 38830?

Greatest common factor (GCF) of 38816 and 38830 is 2.

GCF(38816,38830) = 2

We will now calculate the prime factors of 38816 and 38830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38816 and 38830.

How to find the GCF of 38816 and 38830?

We will first find the prime factorization of 38816 and 38830. After we will calculate the factors of 38816 and 38830 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 38830

Prime factors of 38830 are 2, 5, 11, 353. Prime factorization of 38830 in exponential form is:

38830 = 2¹ × 5¹ × 11¹ × 353¹

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 38830

List of positive integer factors of 38830 that divides 38816 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 353, 706, 1765, 3530, 3883, 7766, 19415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38816 and 38830. The biggest common factor number is the GCF number.
So the greatest common factor 38816 and 38830 is 2.

Also check out the Least Common Multiple of 38816 and 38830