What is the Greatest Common Factor of 98331 and 98343?

Greatest common factor (GCF) of 98331 and 98343 is 3.

GCF(98331,98343) = 3

We will now calculate the prime factors of 98331 and 98343, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98331 and 98343.

How to find the GCF of 98331 and 98343?

We will first find the prime factorization of 98331 and 98343. After we will calculate the factors of 98331 and 98343 and find the biggest common factor number .

Step-1: Prime Factorization of 98331

Prime factors of 98331 are 3, 73, 449. Prime factorization of 98331 in exponential form is:

98331 = 3¹ × 73¹ × 449¹

Step-2: Prime Factorization of 98343

Prime factors of 98343 are 3, 7, 223. Prime factorization of 98343 in exponential form is:

98343 = 3² × 7² × 223¹

Step-3: Factors of 98331

List of positive integer factors of 98331 that divides 98331 without a remainder.

1, 3, 73, 219, 449, 1347, 32777

Step-4: Factors of 98343

List of positive integer factors of 98343 that divides 98331 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 223, 441, 669, 1561, 2007, 4683, 10927, 14049, 32781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98331 and 98343. The biggest common factor number is the GCF number.
So the greatest common factor 98331 and 98343 is 3.

Also check out the Least Common Multiple of 98331 and 98343