What is the Greatest Common Factor of 54304 and 54319?

Greatest common factor (GCF) of 54304 and 54319 is 1.

GCF(54304,54319) = 1

We will now calculate the prime factors of 54304 and 54319, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54304 and 54319.

How to find the GCF of 54304 and 54319?

We will first find the prime factorization of 54304 and 54319. After we will calculate the factors of 54304 and 54319 and find the biggest common factor number .

Step-1: Prime Factorization of 54304

Prime factors of 54304 are 2, 1697. Prime factorization of 54304 in exponential form is:

54304 = 2⁵ × 1697¹

Step-2: Prime Factorization of 54319

Prime factors of 54319 are 54319. Prime factorization of 54319 in exponential form is:

54319 = 54319¹

Step-3: Factors of 54304

List of positive integer factors of 54304 that divides 54304 without a remainder.

1, 2, 4, 8, 16, 32, 1697, 3394, 6788, 13576, 27152

Step-4: Factors of 54319

List of positive integer factors of 54319 that divides 54304 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54304 and 54319. The biggest common factor number is the GCF number.
So the greatest common factor 54304 and 54319 is 1.

Also check out the Least Common Multiple of 54304 and 54319