What is the Greatest Common Factor of 48375 and 48381?

Greatest common factor (GCF) of 48375 and 48381 is 3.

GCF(48375,48381) = 3

We will now calculate the prime factors of 48375 and 48381, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48375 and 48381.

How to find the GCF of 48375 and 48381?

We will first find the prime factorization of 48375 and 48381. After we will calculate the factors of 48375 and 48381 and find the biggest common factor number .

Step-1: Prime Factorization of 48375

Prime factors of 48375 are 3, 5, 43. Prime factorization of 48375 in exponential form is:

48375 = 3² × 5³ × 43¹

Step-2: Prime Factorization of 48381

Prime factors of 48381 are 3, 16127. Prime factorization of 48381 in exponential form is:

48381 = 3¹ × 16127¹

Step-3: Factors of 48375

List of positive integer factors of 48375 that divides 48375 without a remainder.

1, 3, 5, 9, 15, 25, 43, 45, 75, 125, 129, 215, 225, 375, 387, 645, 1075, 1125, 1935, 3225, 5375, 9675, 16125

Step-4: Factors of 48381

List of positive integer factors of 48381 that divides 48375 without a remainder.

1, 3, 16127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48375 and 48381. The biggest common factor number is the GCF number.
So the greatest common factor 48375 and 48381 is 3.

Also check out the Least Common Multiple of 48375 and 48381