What is the Greatest Common Factor of 98904 and 98912?

Greatest common factor (GCF) of 98904 and 98912 is 8.

GCF(98904,98912) = 8

We will now calculate the prime factors of 98904 and 98912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98904 and 98912.

How to find the GCF of 98904 and 98912?

We will first find the prime factorization of 98904 and 98912. After we will calculate the factors of 98904 and 98912 and find the biggest common factor number .

Step-1: Prime Factorization of 98904

Prime factors of 98904 are 2, 3, 13, 317. Prime factorization of 98904 in exponential form is:

98904 = 2³ × 3¹ × 13¹ × 317¹

Step-2: Prime Factorization of 98912

Prime factors of 98912 are 2, 11, 281. Prime factorization of 98912 in exponential form is:

98912 = 2⁵ × 11¹ × 281¹

Step-3: Factors of 98904

List of positive integer factors of 98904 that divides 98904 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312, 317, 634, 951, 1268, 1902, 2536, 3804, 4121, 7608, 8242, 12363, 16484, 24726, 32968, 49452

Step-4: Factors of 98912

List of positive integer factors of 98912 that divides 98904 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 281, 352, 562, 1124, 2248, 3091, 4496, 6182, 8992, 12364, 24728, 49456

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98904 and 98912. The biggest common factor number is the GCF number.
So the greatest common factor 98904 and 98912 is 8.

Also check out the Least Common Multiple of 98904 and 98912