What is the Greatest Common Factor of 48304 and 48322?

Greatest common factor (GCF) of 48304 and 48322 is 2.

GCF(48304,48322) = 2

We will now calculate the prime factors of 48304 and 48322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48304 and 48322.

How to find the GCF of 48304 and 48322?

We will first find the prime factorization of 48304 and 48322. After we will calculate the factors of 48304 and 48322 and find the biggest common factor number .

Step-1: Prime Factorization of 48304

Prime factors of 48304 are 2, 3019. Prime factorization of 48304 in exponential form is:

48304 = 2⁴ × 3019¹

Step-2: Prime Factorization of 48322

Prime factors of 48322 are 2, 37, 653. Prime factorization of 48322 in exponential form is:

48322 = 2¹ × 37¹ × 653¹

Step-3: Factors of 48304

List of positive integer factors of 48304 that divides 48304 without a remainder.

1, 2, 4, 8, 16, 3019, 6038, 12076, 24152

Step-4: Factors of 48322

List of positive integer factors of 48322 that divides 48304 without a remainder.

1, 2, 37, 74, 653, 1306, 24161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48304 and 48322. The biggest common factor number is the GCF number.
So the greatest common factor 48304 and 48322 is 2.

Also check out the Least Common Multiple of 48304 and 48322