What is the Greatest Common Factor of 98341 and 98350?

Greatest common factor (GCF) of 98341 and 98350 is 1.

GCF(98341,98350) = 1

We will now calculate the prime factors of 98341 and 98350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98341 and 98350.

How to find the GCF of 98341 and 98350?

We will first find the prime factorization of 98341 and 98350. After we will calculate the factors of 98341 and 98350 and find the biggest common factor number .

Step-1: Prime Factorization of 98341

Prime factors of 98341 are 43, 2287. Prime factorization of 98341 in exponential form is:

98341 = 43¹ × 2287¹

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 98341

List of positive integer factors of 98341 that divides 98341 without a remainder.

1, 43, 2287

Step-4: Factors of 98350

List of positive integer factors of 98350 that divides 98341 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 98341 and 98350. The biggest common factor number is the GCF number.
So the greatest common factor 98341 and 98350 is 1.

Also check out the Least Common Multiple of 98341 and 98350