What is the Greatest Common Factor of 48308 and 48319?

Greatest common factor (GCF) of 48308 and 48319 is 1.

GCF(48308,48319) = 1

We will now calculate the prime factors of 48308 and 48319, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48308 and 48319.

How to find the GCF of 48308 and 48319?

We will first find the prime factorization of 48308 and 48319. After we will calculate the factors of 48308 and 48319 and find the biggest common factor number .

Step-1: Prime Factorization of 48308

Prime factors of 48308 are 2, 13, 929. Prime factorization of 48308 in exponential form is:

48308 = 2² × 13¹ × 929¹

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 48308

List of positive integer factors of 48308 that divides 48308 without a remainder.

1, 2, 4, 13, 26, 52, 929, 1858, 3716, 12077, 24154

Step-4: Factors of 48319

List of positive integer factors of 48319 that divides 48308 without a remainder.

1, 211, 229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48308 and 48319. The biggest common factor number is the GCF number.
So the greatest common factor 48308 and 48319 is 1.

Also check out the Least Common Multiple of 48308 and 48319