What is the greatest common factor of 99 and 363?

Answer 1

To find the greatest common factor (GCF) of 99 and 363, we need to determine the largest number that divides evenly into both numbers. The prime factorization of 99 is 3 x 3 x 11, and the prime factorization of 363 is 3 x 11 x 11. To find the GCF, we identify the common prime factors, which are 3 and 11. The GCF of 99 and 363 is the product of these common prime factors, which is 3 x 11 = 33.

Answer 2

The greatest common factor (GCF) is often also called the greatest common divisor (GCD) or highest common factor (HCF). Keep in mind that these different terms all refer to the same thing: the largest integer which evenly divides two or more numbers.

The greatest common factor of 99 and 363 is 33.