What is the Greatest Common Factor of 99339 and 99354?

Greatest common factor (GCF) of 99339 and 99354 is 3.

GCF(99339,99354) = 3

We will now calculate the prime factors of 99339 and 99354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99339 and 99354.

How to find the GCF of 99339 and 99354?

We will first find the prime factorization of 99339 and 99354. After we will calculate the factors of 99339 and 99354 and find the biggest common factor number .

Step-1: Prime Factorization of 99339

Prime factors of 99339 are 3, 33113. Prime factorization of 99339 in exponential form is:

99339 = 3¹ × 33113¹

Step-2: Prime Factorization of 99354

Prime factors of 99354 are 2, 3, 29, 571. Prime factorization of 99354 in exponential form is:

99354 = 2¹ × 3¹ × 29¹ × 571¹

Step-3: Factors of 99339

List of positive integer factors of 99339 that divides 99339 without a remainder.

1, 3, 33113

Step-4: Factors of 99354

List of positive integer factors of 99354 that divides 99339 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 571, 1142, 1713, 3426, 16559, 33118, 49677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99339 and 99354. The biggest common factor number is the GCF number.
So the greatest common factor 99339 and 99354 is 3.

Also check out the Least Common Multiple of 99339 and 99354