What is the Greatest Common Factor of 48666 and 48681?

Greatest common factor (GCF) of 48666 and 48681 is 3.

GCF(48666,48681) = 3

We will now calculate the prime factors of 48666 and 48681, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48666 and 48681.

How to find the GCF of 48666 and 48681?

We will first find the prime factorization of 48666 and 48681. After we will calculate the factors of 48666 and 48681 and find the biggest common factor number .

Step-1: Prime Factorization of 48666

Prime factors of 48666 are 2, 3, 8111. Prime factorization of 48666 in exponential form is:

48666 = 2¹ × 3¹ × 8111¹

Step-2: Prime Factorization of 48681

Prime factors of 48681 are 3, 601. Prime factorization of 48681 in exponential form is:

48681 = 3⁴ × 601¹

Step-3: Factors of 48666

List of positive integer factors of 48666 that divides 48666 without a remainder.

1, 2, 3, 6, 8111, 16222, 24333

Step-4: Factors of 48681

List of positive integer factors of 48681 that divides 48666 without a remainder.

1, 3, 9, 27, 81, 601, 1803, 5409, 16227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48666 and 48681. The biggest common factor number is the GCF number.
So the greatest common factor 48666 and 48681 is 3.

Also check out the Least Common Multiple of 48666 and 48681