What is the Greatest Common Factor of 99357 and 99363?

Greatest common factor (GCF) of 99357 and 99363 is 3.

GCF(99357,99363) = 3

We will now calculate the prime factors of 99357 and 99363, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99357 and 99363.

How to find the GCF of 99357 and 99363?

We will first find the prime factorization of 99357 and 99363. After we will calculate the factors of 99357 and 99363 and find the biggest common factor number .

Step-1: Prime Factorization of 99357

Prime factors of 99357 are 3, 33119. Prime factorization of 99357 in exponential form is:

99357 = 3¹ × 33119¹

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 99357

List of positive integer factors of 99357 that divides 99357 without a remainder.

1, 3, 33119

Step-4: Factors of 99363

List of positive integer factors of 99363 that divides 99357 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99357 and 99363. The biggest common factor number is the GCF number.
So the greatest common factor 99357 and 99363 is 3.

Also check out the Least Common Multiple of 99357 and 99363