What is the Greatest Common Factor of 48057 and 48075?

Greatest common factor (GCF) of 48057 and 48075 is 3.

GCF(48057,48075) = 3

We will now calculate the prime factors of 48057 and 48075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48057 and 48075.

How to find the GCF of 48057 and 48075?

We will first find the prime factorization of 48057 and 48075. After we will calculate the factors of 48057 and 48075 and find the biggest common factor number .

Step-1: Prime Factorization of 48057

Prime factors of 48057 are 3, 83, 193. Prime factorization of 48057 in exponential form is:

48057 = 3¹ × 83¹ × 193¹

Step-2: Prime Factorization of 48075

Prime factors of 48075 are 3, 5, 641. Prime factorization of 48075 in exponential form is:

48075 = 3¹ × 5² × 641¹

Step-3: Factors of 48057

List of positive integer factors of 48057 that divides 48057 without a remainder.

1, 3, 83, 193, 249, 579, 16019

Step-4: Factors of 48075

List of positive integer factors of 48075 that divides 48057 without a remainder.

1, 3, 5, 15, 25, 75, 641, 1923, 3205, 9615, 16025

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48057 and 48075. The biggest common factor number is the GCF number.
So the greatest common factor 48057 and 48075 is 3.

Also check out the Least Common Multiple of 48057 and 48075