What is the greatest common factor of 45 and 96?

Answer 1

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 45 and 96 is 3

Answer 2

To answer this question, we write out the prime factorisation of 45 and 96 thus:

• 45 = 3 * 3 * 5
• 96 = 2 * 2 * 2 * 2 * 2 * 3

The lowest common multiple of 45 and 96 will be the smallest number that contains all the prime factors of both 45 and 96, or

LCM45, 96 = 2 * 2 * 2 * 2 * 2 * 3 * 3 * 5

LCM45, 96 = 1440