What is the Greatest Common Factor of 98309 and 98323?

Greatest common factor (GCF) of 98309 and 98323 is 1.

GCF(98309,98323) = 1

We will now calculate the prime factors of 98309 and 98323, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98309 and 98323.

How to find the GCF of 98309 and 98323?

We will first find the prime factorization of 98309 and 98323. After we will calculate the factors of 98309 and 98323 and find the biggest common factor number .

Step-1: Prime Factorization of 98309

Prime factors of 98309 are 37, 2657. Prime factorization of 98309 in exponential form is:

98309 = 37¹ × 2657¹

Step-2: Prime Factorization of 98323

Prime factors of 98323 are 98323. Prime factorization of 98323 in exponential form is:

98323 = 98323¹

Step-3: Factors of 98309

List of positive integer factors of 98309 that divides 98309 without a remainder.

1, 37, 2657

Step-4: Factors of 98323

List of positive integer factors of 98323 that divides 98309 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98309 and 98323. The biggest common factor number is the GCF number.
So the greatest common factor 98309 and 98323 is 1.

Also check out the Least Common Multiple of 98309 and 98323