What is the Greatest Common Factor of 48443 and 48447?

Greatest common factor (GCF) of 48443 and 48447 is 1.

GCF(48443,48447) = 1

We will now calculate the prime factors of 48443 and 48447, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48443 and 48447.

How to find the GCF of 48443 and 48447?

We will first find the prime factorization of 48443 and 48447. After we will calculate the factors of 48443 and 48447 and find the biggest common factor number .

Step-1: Prime Factorization of 48443

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

48443 = 193¹ × 251¹

Step-2: Prime Factorization of 48447

Prime factors of 48447 are 3, 7, 769. Prime factorization of 48447 in exponential form is:

48447 = 3² × 7¹ × 769¹

Step-3: Factors of 48443

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

1, 193, 251

Step-4: Factors of 48447

List of positive integer factors of 48447 that divides 48443 without a remainder.

1, 3, 7, 9, 21, 63, 769, 2307, 5383, 6921, 16149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48443 and 48447. The biggest common factor number is the GCF number.
So the greatest common factor 48443 and 48447 is 1.

Also check out the Least Common Multiple of 48443 and 48447