What is the Greatest Common Factor of 50304 and 50322?

Greatest common factor (GCF) of 50304 and 50322 is 6.

GCF(50304,50322) = 6

We will now calculate the prime factors of 50304 and 50322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50304 and 50322.

How to find the GCF of 50304 and 50322?

We will first find the prime factorization of 50304 and 50322. After we will calculate the factors of 50304 and 50322 and find the biggest common factor number .

Step-1: Prime Factorization of 50304

Prime factors of 50304 are 2, 3, 131. Prime factorization of 50304 in exponential form is:

50304 = 2⁷ × 3¹ × 131¹

Step-2: Prime Factorization of 50322

Prime factors of 50322 are 2, 3, 8387. Prime factorization of 50322 in exponential form is:

50322 = 2¹ × 3¹ × 8387¹

Step-3: Factors of 50304

List of positive integer factors of 50304 that divides 50304 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 131, 192, 262, 384, 393, 524, 786, 1048, 1572, 2096, 3144, 4192, 6288, 8384, 12576, 16768, 25152

Step-4: Factors of 50322

List of positive integer factors of 50322 that divides 50304 without a remainder.

1, 2, 3, 6, 8387, 16774, 25161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50304 and 50322. The biggest common factor number is the GCF number.
So the greatest common factor 50304 and 50322 is 6.

Also check out the Least Common Multiple of 50304 and 50322