Math

QuestionFind the greatest common factor of 20, 12, and 1818.

Studdy Solution

STEP 1

Assumptions1. We are asked to find the greatest common factor (GCF) of the numbers20,12, and18.

STEP 2

The greatest common factor of a set of numbers is the largest number that divides all of them without leaving a remainder. We can find the GCF of three numbers by first finding the GCF of two of the numbers, and then finding the GCF of that result and the third number.

STEP 3

Let's start by finding the GCF of20 and12. We list the factors of each numberFactors of201,2,,5,10,20Factors of121,2,3,,6,12

STEP 4

The common factors of20 and12 are1,2, and4. The greatest of these is4, so the GCF of20 and12 is4.

STEP 5

Now we find the GCF of4 (the GCF of20 and12) and18. We list the factors of each numberFactors of41,2,4Factors of181,2,3,,9,18

STEP 6

The common factors of4 and18 are1 and2. The greatest of these is2, so the GCF of4 and18 is2.

STEP 7

Therefore, the greatest common factor of20,12, and18 is2.

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