What is the Greatest Common Factor of 48320 and 48340?

Greatest common factor (GCF) of 48320 and 48340 is 20.

GCF(48320,48340) = 20

We will now calculate the prime factors of 48320 and 48340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48320 and 48340.

How to find the GCF of 48320 and 48340?

We will first find the prime factorization of 48320 and 48340. After we will calculate the factors of 48320 and 48340 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 48340

Prime factors of 48340 are 2, 5, 2417. Prime factorization of 48340 in exponential form is:

48340 = 2² × 5¹ × 2417¹

Step-3: Factors of 48320

List of positive integer factors of 48320 that divides 48320 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

Step-4: Factors of 48340

List of positive integer factors of 48340 that divides 48320 without a remainder.

1, 2, 4, 5, 10, 20, 2417, 4834, 9668, 12085, 24170

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48320 and 48340. The biggest common factor number is the GCF number.
So the greatest common factor 48320 and 48340 is 20.

Also check out the Least Common Multiple of 48320 and 48340