What is the Greatest Common Factor of 98350 and 98369?

Greatest common factor (GCF) of 98350 and 98369 is 1.

GCF(98350,98369) = 1

We will now calculate the prime factors of 98350 and 98369, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98350 and 98369.

How to find the GCF of 98350 and 98369?

We will first find the prime factorization of 98350 and 98369. After we will calculate the factors of 98350 and 98369 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 98369

Prime factors of 98369 are 98369. Prime factorization of 98369 in exponential form is:

98369 = 98369¹

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 98369

List of positive integer factors of 98369 that divides 98350 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98350 and 98369. The biggest common factor number is the GCF number.
So the greatest common factor 98350 and 98369 is 1.

Also check out the Least Common Multiple of 98350 and 98369