What is the Greatest Common Factor of 48648 and 48657?

Greatest common factor (GCF) of 48648 and 48657 is 3.

GCF(48648,48657) = 3

We will now calculate the prime factors of 48648 and 48657, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48648 and 48657.

How to find the GCF of 48648 and 48657?

We will first find the prime factorization of 48648 and 48657. After we will calculate the factors of 48648 and 48657 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 48657

Prime factors of 48657 are 3, 7, 331. Prime factorization of 48657 in exponential form is:

48657 = 3¹ × 7² × 331¹

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 48657

List of positive integer factors of 48657 that divides 48648 without a remainder.

1, 3, 7, 21, 49, 147, 331, 993, 2317, 6951, 16219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48648 and 48657. The biggest common factor number is the GCF number.
So the greatest common factor 48648 and 48657 is 3.

Also check out the Least Common Multiple of 48648 and 48657