What is the Greatest Common Factor of 50304 and 50316?

Greatest common factor (GCF) of 50304 and 50316 is 12.

GCF(50304,50316) = 12

We will now calculate the prime factors of 50304 and 50316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50304 and 50316.

How to find the GCF of 50304 and 50316?

We will first find the prime factorization of 50304 and 50316. After we will calculate the factors of 50304 and 50316 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 50316

Prime factors of 50316 are 2, 3, 7, 599. Prime factorization of 50316 in exponential form is:

50316 = 2² × 3¹ × 7¹ × 599¹

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 50316

List of positive integer factors of 50316 that divides 50304 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 599, 1198, 1797, 2396, 3594, 4193, 7188, 8386, 12579, 16772, 25158

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50304 and 50316. The biggest common factor number is the GCF number.
So the greatest common factor 50304 and 50316 is 12.

Also check out the Least Common Multiple of 50304 and 50316