What is the Greatest Common Factor of 98340 and 98350?

Greatest common factor (GCF) of 98340 and 98350 is 10.

GCF(98340,98350) = 10

We will now calculate the prime factors of 98340 and 98350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98340 and 98350.

How to find the GCF of 98340 and 98350?

We will first find the prime factorization of 98340 and 98350. After we will calculate the factors of 98340 and 98350 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 98350

Prime factors of 98350 are 2, 5, 7, 281. Prime factorization of 98350 in exponential form is:

98350 = 2¹ × 5² × 7¹ × 281¹

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 98350

List of positive integer factors of 98350 that divides 98340 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 281, 350, 562, 1405, 1967, 2810, 3934, 7025, 9835, 14050, 19670, 49175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98340 and 98350. The biggest common factor number is the GCF number.
So the greatest common factor 98340 and 98350 is 10.

Also check out the Least Common Multiple of 98340 and 98350