What is the Greatest Common Factor of 98340 and 98358?

Greatest common factor (GCF) of 98340 and 98358 is 6.

GCF(98340,98358) = 6

We will now calculate the prime factors of 98340 and 98358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98340 and 98358.

How to find the GCF of 98340 and 98358?

We will first find the prime factorization of 98340 and 98358. After we will calculate the factors of 98340 and 98358 and find the biggest common factor number .

Step-1: Prime Factorization of 98340

Prime factors of 98340 are 2, 3, 5, 11, 149. Prime factorization of 98340 in exponential form is:

98340 = 2² × 3¹ × 5¹ × 11¹ × 149¹

Step-2: Prime Factorization of 98358

Prime factors of 98358 are 2, 3, 13, 97. Prime factorization of 98358 in exponential form is:

98358 = 2¹ × 3¹ × 13² × 97¹

Step-3: Factors of 98340

List of positive integer factors of 98340 that divides 98340 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 149, 165, 220, 298, 330, 447, 596, 660, 745, 894, 1490, 1639, 1788, 2235, 2980, 3278, 4470, 4917, 6556, 8195, 8940, 9834, 16390, 19668, 24585, 32780, 49170

Step-4: Factors of 98358

List of positive integer factors of 98358 that divides 98340 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 97, 169, 194, 291, 338, 507, 582, 1014, 1261, 2522, 3783, 7566, 16393, 32786, 49179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98340 and 98358. The biggest common factor number is the GCF number.
So the greatest common factor 98340 and 98358 is 6.

Also check out the Least Common Multiple of 98340 and 98358