What is the Greatest Common Factor of 98736 and 98752?

Greatest common factor (GCF) of 98736 and 98752 is 16.

GCF(98736,98752) = 16

We will now calculate the prime factors of 98736 and 98752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98736 and 98752.

How to find the GCF of 98736 and 98752?

We will first find the prime factorization of 98736 and 98752. After we will calculate the factors of 98736 and 98752 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 98752

Prime factors of 98752 are 2, 1543. Prime factorization of 98752 in exponential form is:

98752 = 2⁶ × 1543¹

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 98752

List of positive integer factors of 98752 that divides 98736 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1543, 3086, 6172, 12344, 24688, 49376

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98736 and 98752. The biggest common factor number is the GCF number.
So the greatest common factor 98736 and 98752 is 16.

Also check out the Least Common Multiple of 98736 and 98752