What is the Greatest Common Factor of 50286 and 50304?

Greatest common factor (GCF) of 50286 and 50304 is 6.

GCF(50286,50304) = 6

We will now calculate the prime factors of 50286 and 50304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50286 and 50304.

How to find the GCF of 50286 and 50304?

We will first find the prime factorization of 50286 and 50304. After we will calculate the factors of 50286 and 50304 and find the biggest common factor number .

Step-1: Prime Factorization of 50286

Prime factors of 50286 are 2, 3, 17, 29. Prime factorization of 50286 in exponential form is:

50286 = 2¹ × 3¹ × 17² × 29¹

Step-2: 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-3: Factors of 50286

List of positive integer factors of 50286 that divides 50286 without a remainder.

1, 2, 3, 6, 17, 29, 34, 51, 58, 87, 102, 174, 289, 493, 578, 867, 986, 1479, 1734, 2958, 8381, 16762, 25143

Step-4: Factors of 50304

List of positive integer factors of 50304 that divides 50286 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50286 and 50304. The biggest common factor number is the GCF number.
So the greatest common factor 50286 and 50304 is 6.

Also check out the Least Common Multiple of 50286 and 50304