What is the Greatest Common Factor of 48432 and 48443?

Greatest common factor (GCF) of 48432 and 48443 is 1.

GCF(48432,48443) = 1

We will now calculate the prime factors of 48432 and 48443, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48432 and 48443.

How to find the GCF of 48432 and 48443?

We will first find the prime factorization of 48432 and 48443. After we will calculate the factors of 48432 and 48443 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 48443

Prime factors of 48443 are 193, 251. Prime factorization of 48443 in exponential form is:

48443 = 193¹ × 251¹

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 48443

List of positive integer factors of 48443 that divides 48432 without a remainder.

1, 193, 251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48432 and 48443. The biggest common factor number is the GCF number.
So the greatest common factor 48432 and 48443 is 1.

Also check out the Least Common Multiple of 48432 and 48443