What is the Greatest Common Factor of 98304 and 98309?

Greatest common factor (GCF) of 98304 and 98309 is 1.

GCF(98304,98309) = 1

We will now calculate the prime factors of 98304 and 98309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98304 and 98309.

How to find the GCF of 98304 and 98309?

We will first find the prime factorization of 98304 and 98309. After we will calculate the factors of 98304 and 98309 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 98309

Prime factors of 98309 are 37, 2657. Prime factorization of 98309 in exponential form is:

98309 = 37¹ × 2657¹

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 98309

List of positive integer factors of 98309 that divides 98304 without a remainder.

1, 37, 2657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98304 and 98309. The biggest common factor number is the GCF number.
So the greatest common factor 98304 and 98309 is 1.

Also check out the Least Common Multiple of 98304 and 98309