What is the Greatest Common Factor of 48375 and 48379?

Greatest common factor (GCF) of 48375 and 48379 is 1.

GCF(48375,48379) = 1

We will now calculate the prime factors of 48375 and 48379, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48375 and 48379.

How to find the GCF of 48375 and 48379?

We will first find the prime factorization of 48375 and 48379. After we will calculate the factors of 48375 and 48379 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 48379

Prime factors of 48379 are 101, 479. Prime factorization of 48379 in exponential form is:

48379 = 101¹ × 479¹

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 48379

List of positive integer factors of 48379 that divides 48375 without a remainder.

1, 101, 479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48375 and 48379. The biggest common factor number is the GCF number.
So the greatest common factor 48375 and 48379 is 1.

Also check out the Least Common Multiple of 48375 and 48379