What is the Greatest Common Factor of 99323 and 99337?

Greatest common factor (GCF) of 99323 and 99337 is 7.

GCF(99323,99337) = 7

We will now calculate the prime factors of 99323 and 99337, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99323 and 99337.

How to find the GCF of 99323 and 99337?

We will first find the prime factorization of 99323 and 99337. After we will calculate the factors of 99323 and 99337 and find the biggest common factor number .

Step-1: Prime Factorization of 99323

Prime factors of 99323 are 7, 2027. Prime factorization of 99323 in exponential form is:

99323 = 7² × 2027¹

Step-2: Prime Factorization of 99337

Prime factors of 99337 are 7, 23, 617. Prime factorization of 99337 in exponential form is:

99337 = 7¹ × 23¹ × 617¹

Step-3: Factors of 99323

List of positive integer factors of 99323 that divides 99323 without a remainder.

1, 7, 49, 2027, 14189

Step-4: Factors of 99337

List of positive integer factors of 99337 that divides 99323 without a remainder.

1, 7, 23, 161, 617, 4319, 14191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99323 and 99337. The biggest common factor number is the GCF number.
So the greatest common factor 99323 and 99337 is 7.

Also check out the Least Common Multiple of 99323 and 99337