What is the Greatest Common Factor of 38557 and 38564?

Greatest common factor (GCF) of 38557 and 38564 is 1.

GCF(38557,38564) = 1

We will now calculate the prime factors of 38557 and 38564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38557 and 38564.

How to find the GCF of 38557 and 38564?

We will first find the prime factorization of 38557 and 38564. After we will calculate the factors of 38557 and 38564 and find the biggest common factor number .

Step-1: Prime Factorization of 38557

Prime factors of 38557 are 38557. Prime factorization of 38557 in exponential form is:

38557 = 38557¹

Step-2: Prime Factorization of 38564

Prime factors of 38564 are 2, 31, 311. Prime factorization of 38564 in exponential form is:

38564 = 2² × 31¹ × 311¹

Step-3: Factors of 38557

List of positive integer factors of 38557 that divides 38557 without a remainder.

Step-4: Factors of 38564

List of positive integer factors of 38564 that divides 38557 without a remainder.

1, 2, 4, 31, 62, 124, 311, 622, 1244, 9641, 19282

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38557 and 38564. The biggest common factor number is the GCF number.
So the greatest common factor 38557 and 38564 is 1.

Also check out the Least Common Multiple of 38557 and 38564