What is the Greatest Common Factor of 48311 and 48320?

Greatest common factor (GCF) of 48311 and 48320 is 1.

GCF(48311,48320) = 1

We will now calculate the prime factors of 48311 and 48320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48311 and 48320.

How to find the GCF of 48311 and 48320?

We will first find the prime factorization of 48311 and 48320. After we will calculate the factors of 48311 and 48320 and find the biggest common factor number .

Step-1: Prime Factorization of 48311

Prime factors of 48311 are 48311. Prime factorization of 48311 in exponential form is:

48311 = 48311¹

Step-2: Prime Factorization of 48320

Prime factors of 48320 are 2, 5, 151. Prime factorization of 48320 in exponential form is:

48320 = 2⁶ × 5¹ × 151¹

Step-3: Factors of 48311

List of positive integer factors of 48311 that divides 48311 without a remainder.

Step-4: Factors of 48320

List of positive integer factors of 48320 that divides 48311 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 151, 160, 302, 320, 604, 755, 1208, 1510, 2416, 3020, 4832, 6040, 9664, 12080, 24160

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48311 and 48320. The biggest common factor number is the GCF number.
So the greatest common factor 48311 and 48320 is 1.

Also check out the Least Common Multiple of 48311 and 48320