What is the Greatest Common Factor of 38550 and 38567?

Greatest common factor (GCF) of 38550 and 38567 is 1.

GCF(38550,38567) = 1

We will now calculate the prime factors of 38550 and 38567, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38550 and 38567.

How to find the GCF of 38550 and 38567?

We will first find the prime factorization of 38550 and 38567. After we will calculate the factors of 38550 and 38567 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 38567

Prime factors of 38567 are 38567. Prime factorization of 38567 in exponential form is:

38567 = 38567¹

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 38567

List of positive integer factors of 38567 that divides 38550 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38550 and 38567. The biggest common factor number is the GCF number.
So the greatest common factor 38550 and 38567 is 1.

Also check out the Least Common Multiple of 38550 and 38567