What is the Greatest Common Factor of 38835 and 38845?

Greatest common factor (GCF) of 38835 and 38845 is 5.

GCF(38835,38845) = 5

We will now calculate the prime factors of 38835 and 38845, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38835 and 38845.

How to find the GCF of 38835 and 38845?

We will first find the prime factorization of 38835 and 38845. After we will calculate the factors of 38835 and 38845 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 38845

Prime factors of 38845 are 5, 17, 457. Prime factorization of 38845 in exponential form is:

38845 = 5¹ × 17¹ × 457¹

Step-3: Factors of 38835

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

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

Step-4: Factors of 38845

List of positive integer factors of 38845 that divides 38835 without a remainder.

1, 5, 17, 85, 457, 2285, 7769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38835 and 38845. The biggest common factor number is the GCF number.
So the greatest common factor 38835 and 38845 is 5.

Also check out the Least Common Multiple of 38835 and 38845