What is the Greatest Common Factor of 38790 and 38805?

Greatest common factor (GCF) of 38790 and 38805 is 15.

GCF(38790,38805) = 15

We will now calculate the prime factors of 38790 and 38805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38790 and 38805.

How to find the GCF of 38790 and 38805?

We will first find the prime factorization of 38790 and 38805. After we will calculate the factors of 38790 and 38805 and find the biggest common factor number .

Step-1: Prime Factorization of 38790

Prime factors of 38790 are 2, 3, 5, 431. Prime factorization of 38790 in exponential form is:

38790 = 2¹ × 3² × 5¹ × 431¹

Step-2: 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-3: Factors of 38790

List of positive integer factors of 38790 that divides 38790 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 431, 862, 1293, 2155, 2586, 3879, 4310, 6465, 7758, 12930, 19395

Step-4: Factors of 38805

List of positive integer factors of 38805 that divides 38790 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 199, 597, 995, 2587, 2985, 7761, 12935

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38790 and 38805. The biggest common factor number is the GCF number.
So the greatest common factor 38790 and 38805 is 15.

Also check out the Least Common Multiple of 38790 and 38805