GCF and LCM Calculator Logo

What is the Greatest Common Factor of 375 and 393?

Greatest common factor (GCF) of 375 and 393 is 3.

GCF(375,393) = 3

We will now calculate the prime factors of 375 and 393, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 375 and 393.

GCF Calculator and
and

How to find the GCF of 375 and 393?

We will first find the prime factorization of 375 and 393. After we will calculate the factors of 375 and 393 and find the biggest common factor number .

Step-1: Prime Factorization of 375

Prime factors of 375 are 3, 5. Prime factorization of 375 in exponential form is:

375 = 31 × 53

Step-2: Prime Factorization of 393

Prime factors of 393 are 3, 131. Prime factorization of 393 in exponential form is:

393 = 31 × 1311

Step-3: Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125

Step-4: Factors of 393

List of positive integer factors of 393 that divides 375 without a remainder.

1, 3, 131

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 375 and 393. The biggest common factor number is the GCF number.
So the greatest common factor 375 and 393 is 3.

Also check out the Least Common Multiple of 375 and 393