What is the Greatest Common Factor of 38550 and 38564?

Greatest common factor (GCF) of 38550 and 38564 is 2.

GCF(38550,38564) = 2

We will now calculate the prime factors of 38550 and 38564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38550 and 38564.

How to find the GCF of 38550 and 38564?

We will first find the prime factorization of 38550 and 38564. After we will calculate the factors of 38550 and 38564 and find the biggest common factor number .

Step-1: Prime Factorization of 38550

Prime factors of 38550 are 2, 3, 5, 257. Prime factorization of 38550 in exponential form is:

38550 = 2¹ × 3¹ × 5² × 257¹

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 38550

List of positive integer factors of 38550 that divides 38550 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 257, 514, 771, 1285, 1542, 2570, 3855, 6425, 7710, 12850, 19275

Step-4: Factors of 38564

List of positive integer factors of 38564 that divides 38550 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 38550 and 38564. The biggest common factor number is the GCF number.
So the greatest common factor 38550 and 38564 is 2.

Also check out the Least Common Multiple of 38550 and 38564