What is the Greatest Common Factor of 98864 and 98872?

Greatest common factor (GCF) of 98864 and 98872 is 8.

GCF(98864,98872) = 8

We will now calculate the prime factors of 98864 and 98872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98864 and 98872.

How to find the GCF of 98864 and 98872?

We will first find the prime factorization of 98864 and 98872. After we will calculate the factors of 98864 and 98872 and find the biggest common factor number .

Step-1: Prime Factorization of 98864

Prime factors of 98864 are 2, 37, 167. Prime factorization of 98864 in exponential form is:

98864 = 2⁴ × 37¹ × 167¹

Step-2: Prime Factorization of 98872

Prime factors of 98872 are 2, 17, 727. Prime factorization of 98872 in exponential form is:

98872 = 2³ × 17¹ × 727¹

Step-3: Factors of 98864

List of positive integer factors of 98864 that divides 98864 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 167, 296, 334, 592, 668, 1336, 2672, 6179, 12358, 24716, 49432

Step-4: Factors of 98872

List of positive integer factors of 98872 that divides 98864 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 727, 1454, 2908, 5816, 12359, 24718, 49436

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98864 and 98872. The biggest common factor number is the GCF number.
So the greatest common factor 98864 and 98872 is 8.

Also check out the Least Common Multiple of 98864 and 98872