What is the Greatest Common Factor of 48320 and 48338?

Greatest common factor (GCF) of 48320 and 48338 is 2.

GCF(48320,48338) = 2

We will now calculate the prime factors of 48320 and 48338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48320 and 48338.

How to find the GCF of 48320 and 48338?

We will first find the prime factorization of 48320 and 48338. After we will calculate the factors of 48320 and 48338 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 48338

Prime factors of 48338 are 2, 24169. Prime factorization of 48338 in exponential form is:

48338 = 2¹ × 24169¹

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 48338

List of positive integer factors of 48338 that divides 48320 without a remainder.

1, 2, 24169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48320 and 48338. The biggest common factor number is the GCF number.
So the greatest common factor 48320 and 48338 is 2.

Also check out the Least Common Multiple of 48320 and 48338