What is the Greatest Common Factor of 48314 and 48319?

Greatest common factor (GCF) of 48314 and 48319 is 1.

GCF(48314,48319) = 1

We will now calculate the prime factors of 48314 and 48319, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48314 and 48319.

How to find the GCF of 48314 and 48319?

We will first find the prime factorization of 48314 and 48319. After we will calculate the factors of 48314 and 48319 and find the biggest common factor number .

Step-1: Prime Factorization of 48314

Prime factors of 48314 are 2, 7, 17, 29. Prime factorization of 48314 in exponential form is:

48314 = 2¹ × 7² × 17¹ × 29¹

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 48314

List of positive integer factors of 48314 that divides 48314 without a remainder.

1, 2, 7, 14, 17, 29, 34, 49, 58, 98, 119, 203, 238, 406, 493, 833, 986, 1421, 1666, 2842, 3451, 6902, 24157

Step-4: Factors of 48319

List of positive integer factors of 48319 that divides 48314 without a remainder.

1, 211, 229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48314 and 48319. The biggest common factor number is the GCF number.
So the greatest common factor 48314 and 48319 is 1.

Also check out the Least Common Multiple of 48314 and 48319