What is the Greatest Common Factor of 99354 and 99363?

Greatest common factor (GCF) of 99354 and 99363 is 3.

GCF(99354,99363) = 3

We will now calculate the prime factors of 99354 and 99363, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99354 and 99363.

How to find the GCF of 99354 and 99363?

We will first find the prime factorization of 99354 and 99363. After we will calculate the factors of 99354 and 99363 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 99363

Prime factors of 99363 are 3, 11, 3011. Prime factorization of 99363 in exponential form is:

99363 = 3¹ × 11¹ × 3011¹

Step-3: Factors of 99354

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

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

Step-4: Factors of 99363

List of positive integer factors of 99363 that divides 99354 without a remainder.

1, 3, 11, 33, 3011, 9033, 33121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99354 and 99363. The biggest common factor number is the GCF number.
So the greatest common factor 99354 and 99363 is 3.

Also check out the Least Common Multiple of 99354 and 99363