What is the Greatest Common Factor of 98294 and 98304?

Greatest common factor (GCF) of 98294 and 98304 is 2.

GCF(98294,98304) = 2

We will now calculate the prime factors of 98294 and 98304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98294 and 98304.

How to find the GCF of 98294 and 98304?

We will first find the prime factorization of 98294 and 98304. After we will calculate the factors of 98294 and 98304 and find the biggest common factor number .

Step-1: Prime Factorization of 98294

Prime factors of 98294 are 2, 7, 17, 59. Prime factorization of 98294 in exponential form is:

98294 = 2¹ × 7² × 17¹ × 59¹

Step-2: Prime Factorization of 98304

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

98304 = 2¹⁵ × 3¹

Step-3: Factors of 98294

List of positive integer factors of 98294 that divides 98294 without a remainder.

1, 2, 7, 14, 17, 34, 49, 59, 98, 118, 119, 238, 413, 826, 833, 1003, 1666, 2006, 2891, 5782, 7021, 14042, 49147

Step-4: Factors of 98304

List of positive integer factors of 98304 that divides 98294 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98294 and 98304. The biggest common factor number is the GCF number.
So the greatest common factor 98294 and 98304 is 2.

Also check out the Least Common Multiple of 98294 and 98304