What is the Greatest Common Factor of 38925 and 38933?

Greatest common factor (GCF) of 38925 and 38933 is 1.

GCF(38925,38933) = 1

We will now calculate the prime factors of 38925 and 38933, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38925 and 38933.

How to find the GCF of 38925 and 38933?

We will first find the prime factorization of 38925 and 38933. After we will calculate the factors of 38925 and 38933 and find the biggest common factor number .

Step-1: Prime Factorization of 38925

Prime factors of 38925 are 3, 5, 173. Prime factorization of 38925 in exponential form is:

38925 = 3² × 5² × 173¹

Step-2: Prime Factorization of 38933

Prime factors of 38933 are 38933. Prime factorization of 38933 in exponential form is:

38933 = 38933¹

Step-3: Factors of 38925

List of positive integer factors of 38925 that divides 38925 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 173, 225, 519, 865, 1557, 2595, 4325, 7785, 12975

Step-4: Factors of 38933

List of positive integer factors of 38933 that divides 38925 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38925 and 38933. The biggest common factor number is the GCF number.
So the greatest common factor 38925 and 38933 is 1.

Also check out the Least Common Multiple of 38925 and 38933