What is the Greatest Common Factor of 98728 and 98736?

Greatest common factor (GCF) of 98728 and 98736 is 8.

GCF(98728,98736) = 8

We will now calculate the prime factors of 98728 and 98736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98728 and 98736.

How to find the GCF of 98728 and 98736?

We will first find the prime factorization of 98728 and 98736. After we will calculate the factors of 98728 and 98736 and find the biggest common factor number .

Step-1: Prime Factorization of 98728

Prime factors of 98728 are 2, 7, 41, 43. Prime factorization of 98728 in exponential form is:

98728 = 2³ × 7¹ × 41¹ × 43¹

Step-2: Prime Factorization of 98736

Prime factors of 98736 are 2, 3, 11, 17. Prime factorization of 98736 in exponential form is:

98736 = 2⁴ × 3¹ × 11² × 17¹

Step-3: Factors of 98728

List of positive integer factors of 98728 that divides 98728 without a remainder.

1, 2, 4, 7, 8, 14, 28, 41, 43, 56, 82, 86, 164, 172, 287, 301, 328, 344, 574, 602, 1148, 1204, 1763, 2296, 2408, 3526, 7052, 12341, 14104, 24682, 49364

Step-4: Factors of 98736

List of positive integer factors of 98736 that divides 98728 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 17, 22, 24, 33, 34, 44, 48, 51, 66, 68, 88, 102, 121, 132, 136, 176, 187, 204, 242, 264, 272, 363, 374, 408, 484, 528, 561, 726, 748, 816, 968, 1122, 1452, 1496, 1936, 2057, 2244, 2904, 2992, 4114, 4488, 5808, 6171, 8228, 8976, 12342, 16456, 24684, 32912, 49368

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98728 and 98736. The biggest common factor number is the GCF number.
So the greatest common factor 98728 and 98736 is 8.

Also check out the Least Common Multiple of 98728 and 98736