What is the Greatest Common Factor of 98736 and 98747?

Greatest common factor (GCF) of 98736 and 98747 is 11.

GCF(98736,98747) = 11

We will now calculate the prime factors of 98736 and 98747, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98736 and 98747.

How to find the GCF of 98736 and 98747?

We will first find the prime factorization of 98736 and 98747. After we will calculate the factors of 98736 and 98747 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 98747

Prime factors of 98747 are 11, 47, 191. Prime factorization of 98747 in exponential form is:

98747 = 11¹ × 47¹ × 191¹

Step-3: Factors of 98736

List of positive integer factors of 98736 that divides 98736 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

Step-4: Factors of 98747

List of positive integer factors of 98747 that divides 98736 without a remainder.

1, 11, 47, 191, 517, 2101, 8977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98736 and 98747. The biggest common factor number is the GCF number.
So the greatest common factor 98736 and 98747 is 11.

Also check out the Least Common Multiple of 98736 and 98747