What is the Greatest Common Factor of 48323 and 48329?

Greatest common factor (GCF) of 48323 and 48329 is 1.

GCF(48323,48329) = 1

We will now calculate the prime factors of 48323 and 48329, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48323 and 48329.

How to find the GCF of 48323 and 48329?

We will first find the prime factorization of 48323 and 48329. After we will calculate the factors of 48323 and 48329 and find the biggest common factor number .

Step-1: Prime Factorization of 48323

Prime factors of 48323 are 11, 23, 191. Prime factorization of 48323 in exponential form is:

48323 = 11¹ × 23¹ × 191¹

Step-2: Prime Factorization of 48329

Prime factors of 48329 are 31, 1559. Prime factorization of 48329 in exponential form is:

48329 = 31¹ × 1559¹

Step-3: Factors of 48323

List of positive integer factors of 48323 that divides 48323 without a remainder.

1, 11, 23, 191, 253, 2101, 4393

Step-4: Factors of 48329

List of positive integer factors of 48329 that divides 48323 without a remainder.

1, 31, 1559

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48323 and 48329. The biggest common factor number is the GCF number.
So the greatest common factor 48323 and 48329 is 1.

Also check out the Least Common Multiple of 48323 and 48329