What is the Greatest Common Factor of 38820 and 38835?

Greatest common factor (GCF) of 38820 and 38835 is 15.

GCF(38820,38835) = 15

We will now calculate the prime factors of 38820 and 38835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38820 and 38835.

How to find the GCF of 38820 and 38835?

We will first find the prime factorization of 38820 and 38835. After we will calculate the factors of 38820 and 38835 and find the biggest common factor number .

Step-1: Prime Factorization of 38820

Prime factors of 38820 are 2, 3, 5, 647. Prime factorization of 38820 in exponential form is:

38820 = 2² × 3¹ × 5¹ × 647¹

Step-2: Prime Factorization of 38835

Prime factors of 38835 are 3, 5, 863. Prime factorization of 38835 in exponential form is:

38835 = 3² × 5¹ × 863¹

Step-3: Factors of 38820

List of positive integer factors of 38820 that divides 38820 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 647, 1294, 1941, 2588, 3235, 3882, 6470, 7764, 9705, 12940, 19410

Step-4: Factors of 38835

List of positive integer factors of 38835 that divides 38820 without a remainder.

1, 3, 5, 9, 15, 45, 863, 2589, 4315, 7767, 12945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38820 and 38835. The biggest common factor number is the GCF number.
So the greatest common factor 38820 and 38835 is 15.

Also check out the Least Common Multiple of 38820 and 38835