What is the Greatest Common Factor of 48320 and 48330?

Greatest common factor (GCF) of 48320 and 48330 is 10.

GCF(48320,48330) = 10

We will now calculate the prime factors of 48320 and 48330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48320 and 48330.

How to find the GCF of 48320 and 48330?

We will first find the prime factorization of 48320 and 48330. After we will calculate the factors of 48320 and 48330 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 48330

Prime factors of 48330 are 2, 3, 5, 179. Prime factorization of 48330 in exponential form is:

48330 = 2¹ × 3³ × 5¹ × 179¹

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 48330

List of positive integer factors of 48330 that divides 48320 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 179, 270, 358, 537, 895, 1074, 1611, 1790, 2685, 3222, 4833, 5370, 8055, 9666, 16110, 24165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48320 and 48330. The biggest common factor number is the GCF number.
So the greatest common factor 48320 and 48330 is 10.

Also check out the Least Common Multiple of 48320 and 48330