What is the Greatest Common Factor of 99314 and 99331?

Greatest common factor (GCF) of 99314 and 99331 is 17.

GCF(99314,99331) = 17

We will now calculate the prime factors of 99314 and 99331, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99314 and 99331.

How to find the GCF of 99314 and 99331?

We will first find the prime factorization of 99314 and 99331. After we will calculate the factors of 99314 and 99331 and find the biggest common factor number .

Step-1: Prime Factorization of 99314

Prime factors of 99314 are 2, 17, 23, 127. Prime factorization of 99314 in exponential form is:

99314 = 2¹ × 17¹ × 23¹ × 127¹

Step-2: Prime Factorization of 99331

Prime factors of 99331 are 17, 5843. Prime factorization of 99331 in exponential form is:

99331 = 17¹ × 5843¹

Step-3: Factors of 99314

List of positive integer factors of 99314 that divides 99314 without a remainder.

1, 2, 17, 23, 34, 46, 127, 254, 391, 782, 2159, 2921, 4318, 5842, 49657

Step-4: Factors of 99331

List of positive integer factors of 99331 that divides 99314 without a remainder.

1, 17, 5843

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99314 and 99331. The biggest common factor number is the GCF number.
So the greatest common factor 99314 and 99331 is 17.

Also check out the Least Common Multiple of 99314 and 99331