What is the Greatest Common Factor of 48432 and 48441?

Greatest common factor (GCF) of 48432 and 48441 is 3.

GCF(48432,48441) = 3

We will now calculate the prime factors of 48432 and 48441, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48432 and 48441.

How to find the GCF of 48432 and 48441?

We will first find the prime factorization of 48432 and 48441. After we will calculate the factors of 48432 and 48441 and find the biggest common factor number .

Step-1: Prime Factorization of 48432

Prime factors of 48432 are 2, 3, 1009. Prime factorization of 48432 in exponential form is:

48432 = 2⁴ × 3¹ × 1009¹

Step-2: Prime Factorization of 48441

Prime factors of 48441 are 3, 67, 241. Prime factorization of 48441 in exponential form is:

48441 = 3¹ × 67¹ × 241¹

Step-3: Factors of 48432

List of positive integer factors of 48432 that divides 48432 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1009, 2018, 3027, 4036, 6054, 8072, 12108, 16144, 24216

Step-4: Factors of 48441

List of positive integer factors of 48441 that divides 48432 without a remainder.

1, 3, 67, 201, 241, 723, 16147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48432 and 48441. The biggest common factor number is the GCF number.
So the greatest common factor 48432 and 48441 is 3.

Also check out the Least Common Multiple of 48432 and 48441