GRE Math assist » Arithmetic » Integers » components / Multiples » Greatest usual Factor » exactly how to uncover the greatest common factor
Explanation:

First, find every one of the components of every number. Factors room the numbers that, like 16 and also 24, deserve to evenly it is in divided. The determinants of 16 space 1, 2, 4, 8, 16. The components of 24 room 1, 2, 3, 4, 6, 8, 12, 24.

Now, to find the greatest usual factor, we uncover the biggest number the is ~ above both lists. This number is 8.

You are watching: What is the gcf of 24 and 18

Explanation:

The greatest common factor is the greatest variable that divides both numbers. To find the greatest usual factor, first list the prime factors of each number.

18 = 2 * 3 * 3

24 = 2 * 2 * 2 * 3

18 and also 24 re-publishing one 2 and one 3 in common. We multiply them to get the GCF, for this reason 2 * 3 = 6 is the GCF of 18 and 24.

See more: What Is The Least Common Multiple Of 10 And 4 And 10, Methods To Find Lcm Of 4 And 10

What is the greatest typical factor of

and also
?

Explanation:

To make things easier, note 6930 is divisible through 30:

6930 = 231 * 30 = 3 * 77 * 3 * 2 * 5 = 3 * 7 * 11 * 3 * 2 * 5 = 2 * 32 * 5 * 7 * 11

288 = 2 * 144 = 2 * 12 * 12 = 2 * 2 * 2 * 3 * 2 * 2 * 3 = 25 * 32

Consider every of this "next to each other":

25 * 32

2 * 32 * 5 * 7 * 11

Each shares determinants of 2 and 3. In the instance of 2, castle share 1 factor. In the case of 3, castle share 2 factors. Therefore, their greatest usual factor is: 2 * 32 = 2 * 9 = 18

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