What is the Greatest Common Factor of 98904 and 98914?

Greatest common factor (GCF) of 98904 and 98914 is 2.

GCF(98904,98914) = 2

We will now calculate the prime factors of 98904 and 98914, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98904 and 98914.

How to find the GCF of 98904 and 98914?

We will first find the prime factorization of 98904 and 98914. After we will calculate the factors of 98904 and 98914 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 98914

Prime factors of 98914 are 2, 19, 137. Prime factorization of 98914 in exponential form is:

98914 = 2¹ × 19² × 137¹

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 98914

List of positive integer factors of 98914 that divides 98904 without a remainder.

1, 2, 19, 38, 137, 274, 361, 722, 2603, 5206, 49457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98904 and 98914. The biggest common factor number is the GCF number.
So the greatest common factor 98904 and 98914 is 2.

Also check out the Least Common Multiple of 98904 and 98914