What is the Greatest Common Factor of 38875 and 38895?

Greatest common factor (GCF) of 38875 and 38895 is 5.

GCF(38875,38895) = 5

We will now calculate the prime factors of 38875 and 38895, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38875 and 38895.

How to find the GCF of 38875 and 38895?

We will first find the prime factorization of 38875 and 38895. After we will calculate the factors of 38875 and 38895 and find the biggest common factor number .

Step-1: Prime Factorization of 38875

Prime factors of 38875 are 5, 311. Prime factorization of 38875 in exponential form is:

38875 = 5³ × 311¹

Step-2: Prime Factorization of 38895

Prime factors of 38895 are 3, 5, 2593. Prime factorization of 38895 in exponential form is:

38895 = 3¹ × 5¹ × 2593¹

Step-3: Factors of 38875

List of positive integer factors of 38875 that divides 38875 without a remainder.

1, 5, 25, 125, 311, 1555, 7775

Step-4: Factors of 38895

List of positive integer factors of 38895 that divides 38875 without a remainder.

1, 3, 5, 15, 2593, 7779, 12965

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38875 and 38895. The biggest common factor number is the GCF number.
So the greatest common factor 38875 and 38895 is 5.

Also check out the Least Common Multiple of 38875 and 38895