What is the Greatest Common Factor of 98350 and 98365?

Greatest common factor (GCF) of 98350 and 98365 is 5.

GCF(98350,98365) = 5

We will now calculate the prime factors of 98350 and 98365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98350 and 98365.

How to find the GCF of 98350 and 98365?

We will first find the prime factorization of 98350 and 98365. After we will calculate the factors of 98350 and 98365 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 98365

Prime factors of 98365 are 5, 103, 191. Prime factorization of 98365 in exponential form is:

98365 = 5¹ × 103¹ × 191¹

Step-3: Factors of 98350

List of positive integer factors of 98350 that divides 98350 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

Step-4: Factors of 98365

List of positive integer factors of 98365 that divides 98350 without a remainder.

1, 5, 103, 191, 515, 955, 19673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98350 and 98365. The biggest common factor number is the GCF number.
So the greatest common factor 98350 and 98365 is 5.

Also check out the Least Common Multiple of 98350 and 98365