What is the Greatest Common Factor of 38805 and 38824?

Greatest common factor (GCF) of 38805 and 38824 is 1.

GCF(38805,38824) = 1

We will now calculate the prime factors of 38805 and 38824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38805 and 38824.

How to find the GCF of 38805 and 38824?

We will first find the prime factorization of 38805 and 38824. After we will calculate the factors of 38805 and 38824 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 38824

Prime factors of 38824 are 2, 23, 211. Prime factorization of 38824 in exponential form is:

38824 = 2³ × 23¹ × 211¹

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 38824

List of positive integer factors of 38824 that divides 38805 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184, 211, 422, 844, 1688, 4853, 9706, 19412

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38805 and 38824. The biggest common factor number is the GCF number.
So the greatest common factor 38805 and 38824 is 1.

Also check out the Least Common Multiple of 38805 and 38824