What is the Greatest Common Factor of 50304 and 50308?

Greatest common factor (GCF) of 50304 and 50308 is 4.

GCF(50304,50308) = 4

We will now calculate the prime factors of 50304 and 50308, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50304 and 50308.

How to find the GCF of 50304 and 50308?

We will first find the prime factorization of 50304 and 50308. After we will calculate the factors of 50304 and 50308 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 50308

Prime factors of 50308 are 2, 12577. Prime factorization of 50308 in exponential form is:

50308 = 2² × 12577¹

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 50308

List of positive integer factors of 50308 that divides 50304 without a remainder.

1, 2, 4, 12577, 25154

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50304 and 50308. The biggest common factor number is the GCF number.
So the greatest common factor 50304 and 50308 is 4.

Also check out the Least Common Multiple of 50304 and 50308