What is the Greatest Common Factor of 38805 and 38823?

Greatest common factor (GCF) of 38805 and 38823 is 3.

GCF(38805,38823) = 3

We will now calculate the prime factors of 38805 and 38823, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38805 and 38823.

How to find the GCF of 38805 and 38823?

We will first find the prime factorization of 38805 and 38823. After we will calculate the factors of 38805 and 38823 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 38823

Prime factors of 38823 are 3, 12941. Prime factorization of 38823 in exponential form is:

38823 = 3¹ × 12941¹

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 38823

List of positive integer factors of 38823 that divides 38805 without a remainder.

1, 3, 12941

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38805 and 38823. The biggest common factor number is the GCF number.
So the greatest common factor 38805 and 38823 is 3.

Also check out the Least Common Multiple of 38805 and 38823