What is the Greatest Common Factor of 38816 and 38828?

Greatest common factor (GCF) of 38816 and 38828 is 4.

GCF(38816,38828) = 4

We will now calculate the prime factors of 38816 and 38828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38816 and 38828.

How to find the GCF of 38816 and 38828?

We will first find the prime factorization of 38816 and 38828. After we will calculate the factors of 38816 and 38828 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 38828

Prime factors of 38828 are 2, 17, 571. Prime factorization of 38828 in exponential form is:

38828 = 2² × 17¹ × 571¹

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 38828

List of positive integer factors of 38828 that divides 38816 without a remainder.

1, 2, 4, 17, 34, 68, 571, 1142, 2284, 9707, 19414

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38816 and 38828. The biggest common factor number is the GCF number.
So the greatest common factor 38816 and 38828 is 4.

Also check out the Least Common Multiple of 38816 and 38828