What is the Greatest Common Factor of 38805 and 38817?

Greatest common factor (GCF) of 38805 and 38817 is 3.

GCF(38805,38817) = 3

We will now calculate the prime factors of 38805 and 38817, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38805 and 38817.

How to find the GCF of 38805 and 38817?

We will first find the prime factorization of 38805 and 38817. After we will calculate the factors of 38805 and 38817 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 38817

Prime factors of 38817 are 3, 19, 227. Prime factorization of 38817 in exponential form is:

38817 = 3² × 19¹ × 227¹

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 38817

List of positive integer factors of 38817 that divides 38805 without a remainder.

1, 3, 9, 19, 57, 171, 227, 681, 2043, 4313, 12939

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38805 and 38817. The biggest common factor number is the GCF number.
So the greatest common factor 38805 and 38817 is 3.

Also check out the Least Common Multiple of 38805 and 38817