What is the Greatest Common Factor of 48648 and 48666?

Greatest common factor (GCF) of 48648 and 48666 is 6.

GCF(48648,48666) = 6

We will now calculate the prime factors of 48648 and 48666, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48648 and 48666.

How to find the GCF of 48648 and 48666?

We will first find the prime factorization of 48648 and 48666. After we will calculate the factors of 48648 and 48666 and find the biggest common factor number .

Step-1: Prime Factorization of 48648

Prime factors of 48648 are 2, 3, 2027. Prime factorization of 48648 in exponential form is:

48648 = 2³ × 3¹ × 2027¹

Step-2: 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-3: Factors of 48648

List of positive integer factors of 48648 that divides 48648 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2027, 4054, 6081, 8108, 12162, 16216, 24324

Step-4: Factors of 48666

List of positive integer factors of 48666 that divides 48648 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48648 and 48666. The biggest common factor number is the GCF number.
So the greatest common factor 48648 and 48666 is 6.

Also check out the Least Common Multiple of 48648 and 48666