What is the Greatest Common Factor of 48319 and 48331?

Greatest common factor (GCF) of 48319 and 48331 is 1.

GCF(48319,48331) = 1

We will now calculate the prime factors of 48319 and 48331, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48319 and 48331.

How to find the GCF of 48319 and 48331?

We will first find the prime factorization of 48319 and 48331. After we will calculate the factors of 48319 and 48331 and find the biggest common factor number .

Step-1: Prime Factorization of 48319

Prime factors of 48319 are 211, 229. Prime factorization of 48319 in exponential form is:

48319 = 211¹ × 229¹

Step-2: Prime Factorization of 48331

Prime factors of 48331 are 17, 2843. Prime factorization of 48331 in exponential form is:

48331 = 17¹ × 2843¹

Step-3: Factors of 48319

List of positive integer factors of 48319 that divides 48319 without a remainder.

1, 211, 229

Step-4: Factors of 48331

List of positive integer factors of 48331 that divides 48319 without a remainder.

1, 17, 2843

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48319 and 48331. The biggest common factor number is the GCF number.
So the greatest common factor 48319 and 48331 is 1.

Also check out the Least Common Multiple of 48319 and 48331