What is the Greatest Common Factor of 48468 and 48483?

Greatest common factor (GCF) of 48468 and 48483 is 3.

GCF(48468,48483) = 3

We will now calculate the prime factors of 48468 and 48483, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48468 and 48483.

How to find the GCF of 48468 and 48483?

We will first find the prime factorization of 48468 and 48483. After we will calculate the factors of 48468 and 48483 and find the biggest common factor number .

Step-1: Prime Factorization of 48468

Prime factors of 48468 are 2, 3, 7, 577. Prime factorization of 48468 in exponential form is:

48468 = 2² × 3¹ × 7¹ × 577¹

Step-2: Prime Factorization of 48483

Prime factors of 48483 are 3, 5387. Prime factorization of 48483 in exponential form is:

48483 = 3² × 5387¹

Step-3: Factors of 48468

List of positive integer factors of 48468 that divides 48468 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 577, 1154, 1731, 2308, 3462, 4039, 6924, 8078, 12117, 16156, 24234

Step-4: Factors of 48483

List of positive integer factors of 48483 that divides 48468 without a remainder.

1, 3, 9, 5387, 16161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48468 and 48483. The biggest common factor number is the GCF number.
So the greatest common factor 48468 and 48483 is 3.

Also check out the Least Common Multiple of 48468 and 48483