What is the Greatest Common Factor of 48301 and 48319?

Greatest common factor (GCF) of 48301 and 48319 is 1.

GCF(48301,48319) = 1

We will now calculate the prime factors of 48301 and 48319, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48301 and 48319.

How to find the GCF of 48301 and 48319?

We will first find the prime factorization of 48301 and 48319. After we will calculate the factors of 48301 and 48319 and find the biggest common factor number .

Step-1: Prime Factorization of 48301

Prime factors of 48301 are 11, 4391. Prime factorization of 48301 in exponential form is:

48301 = 11¹ × 4391¹

Step-2: Prime Factorization of 48319

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

48319 = 211¹ × 229¹

Step-3: Factors of 48301

List of positive integer factors of 48301 that divides 48301 without a remainder.

1, 11, 4391

Step-4: Factors of 48319

List of positive integer factors of 48319 that divides 48301 without a remainder.

1, 211, 229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48301 and 48319. The biggest common factor number is the GCF number.
So the greatest common factor 48301 and 48319 is 1.

Also check out the Least Common Multiple of 48301 and 48319