What is the Greatest Common Factor of 98304 and 98308?

Greatest common factor (GCF) of 98304 and 98308 is 4.

GCF(98304,98308) = 4

We will now calculate the prime factors of 98304 and 98308, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98304 and 98308.

How to find the GCF of 98304 and 98308?

We will first find the prime factorization of 98304 and 98308. After we will calculate the factors of 98304 and 98308 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 98308

Prime factors of 98308 are 2, 7, 3511. Prime factorization of 98308 in exponential form is:

98308 = 2² × 7¹ × 3511¹

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 98308

List of positive integer factors of 98308 that divides 98304 without a remainder.

1, 2, 4, 7, 14, 28, 3511, 7022, 14044, 24577, 49154

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98304 and 98308. The biggest common factor number is the GCF number.
So the greatest common factor 98304 and 98308 is 4.

Also check out the Least Common Multiple of 98304 and 98308