What is the Greatest Common Factor of 98904 and 98919?

Greatest common factor (GCF) of 98904 and 98919 is 3.

GCF(98904,98919) = 3

We will now calculate the prime factors of 98904 and 98919, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98904 and 98919.

How to find the GCF of 98904 and 98919?

We will first find the prime factorization of 98904 and 98919. After we will calculate the factors of 98904 and 98919 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 98919

Prime factors of 98919 are 3, 29, 379. Prime factorization of 98919 in exponential form is:

98919 = 3² × 29¹ × 379¹

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 98919

List of positive integer factors of 98919 that divides 98904 without a remainder.

1, 3, 9, 29, 87, 261, 379, 1137, 3411, 10991, 32973

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98904 and 98919. The biggest common factor number is the GCF number.
So the greatest common factor 98904 and 98919 is 3.

Also check out the Least Common Multiple of 98904 and 98919