What is the Greatest Common Factor of 50304 and 50319?

Greatest common factor (GCF) of 50304 and 50319 is 3.

GCF(50304,50319) = 3

We will now calculate the prime factors of 50304 and 50319, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50304 and 50319.

How to find the GCF of 50304 and 50319?

We will first find the prime factorization of 50304 and 50319. After we will calculate the factors of 50304 and 50319 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 50319

Prime factors of 50319 are 3, 5591. Prime factorization of 50319 in exponential form is:

50319 = 3² × 5591¹

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 50319

List of positive integer factors of 50319 that divides 50304 without a remainder.

1, 3, 9, 5591, 16773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50304 and 50319. The biggest common factor number is the GCF number.
So the greatest common factor 50304 and 50319 is 3.

Also check out the Least Common Multiple of 50304 and 50319