What is the Greatest Common Factor of 98343 and 98349?

Greatest common factor (GCF) of 98343 and 98349 is 3.

GCF(98343,98349) = 3

We will now calculate the prime factors of 98343 and 98349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98343 and 98349.

How to find the GCF of 98343 and 98349?

We will first find the prime factorization of 98343 and 98349. After we will calculate the factors of 98343 and 98349 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 98349

Prime factors of 98349 are 3, 32783. Prime factorization of 98349 in exponential form is:

98349 = 3¹ × 32783¹

Step-3: Factors of 98343

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

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

Step-4: Factors of 98349

List of positive integer factors of 98349 that divides 98343 without a remainder.

1, 3, 32783

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98343 and 98349. The biggest common factor number is the GCF number.
So the greatest common factor 98343 and 98349 is 3.

Also check out the Least Common Multiple of 98343 and 98349