What is the Greatest Common Factor of 98304 and 98320?

Greatest common factor (GCF) of 98304 and 98320 is 16.

GCF(98304,98320) = 16

We will now calculate the prime factors of 98304 and 98320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98304 and 98320.

How to find the GCF of 98304 and 98320?

We will first find the prime factorization of 98304 and 98320. After we will calculate the factors of 98304 and 98320 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 98320

Prime factors of 98320 are 2, 5, 1229. Prime factorization of 98320 in exponential form is:

98320 = 2⁴ × 5¹ × 1229¹

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 98320

List of positive integer factors of 98320 that divides 98304 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1229, 2458, 4916, 6145, 9832, 12290, 19664, 24580, 49160

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98304 and 98320. The biggest common factor number is the GCF number.
So the greatest common factor 98304 and 98320 is 16.

Also check out the Least Common Multiple of 98304 and 98320