What is the Greatest Common Factor of 98304 and 98319?

Greatest common factor (GCF) of 98304 and 98319 is 3.

GCF(98304,98319) = 3

We will now calculate the prime factors of 98304 and 98319, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98304 and 98319.

How to find the GCF of 98304 and 98319?

We will first find the prime factorization of 98304 and 98319. After we will calculate the factors of 98304 and 98319 and find the biggest common factor number .

Step-1: Prime Factorization of 98304

Prime factors of 98304 are 2, 3. Prime factorization of 98304 in exponential form is:

98304 = 2¹⁵ × 3¹

Step-2: Prime Factorization of 98319

Prime factors of 98319 are 3, 13, 2521. Prime factorization of 98319 in exponential form is:

98319 = 3¹ × 13¹ × 2521¹

Step-3: Factors of 98304

List of positive integer factors of 98304 that divides 98304 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 512, 768, 1024, 1536, 2048, 3072, 4096, 6144, 8192, 12288, 16384, 24576, 32768, 49152

Step-4: Factors of 98319

List of positive integer factors of 98319 that divides 98304 without a remainder.

1, 3, 13, 39, 2521, 7563, 32773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98304 and 98319. The biggest common factor number is the GCF number.
So the greatest common factor 98304 and 98319 is 3.

Also check out the Least Common Multiple of 98304 and 98319