What is the Greatest Common Factor of 48057 and 48066?

Greatest common factor (GCF) of 48057 and 48066 is 3.

GCF(48057,48066) = 3

We will now calculate the prime factors of 48057 and 48066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48057 and 48066.

How to find the GCF of 48057 and 48066?

We will first find the prime factorization of 48057 and 48066. After we will calculate the factors of 48057 and 48066 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 48066

Prime factors of 48066 are 2, 3, 8011. Prime factorization of 48066 in exponential form is:

48066 = 2¹ × 3¹ × 8011¹

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 48066

List of positive integer factors of 48066 that divides 48057 without a remainder.

1, 2, 3, 6, 8011, 16022, 24033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48057 and 48066. The biggest common factor number is the GCF number.
So the greatest common factor 48057 and 48066 is 3.

Also check out the Least Common Multiple of 48057 and 48066