What is the Greatest Common Factor of 98736 and 98754?

Greatest common factor (GCF) of 98736 and 98754 is 6.

GCF(98736,98754) = 6

We will now calculate the prime factors of 98736 and 98754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98736 and 98754.

How to find the GCF of 98736 and 98754?

We will first find the prime factorization of 98736 and 98754. After we will calculate the factors of 98736 and 98754 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 98754

Prime factors of 98754 are 2, 3, 109, 151. Prime factorization of 98754 in exponential form is:

98754 = 2¹ × 3¹ × 109¹ × 151¹

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 98754

List of positive integer factors of 98754 that divides 98736 without a remainder.

1, 2, 3, 6, 109, 151, 218, 302, 327, 453, 654, 906, 16459, 32918, 49377

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98736 and 98754. The biggest common factor number is the GCF number.
So the greatest common factor 98736 and 98754 is 6.

Also check out the Least Common Multiple of 98736 and 98754