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liz has two pieces of string, one 18cm long and the other 24cm long. she wants to cut them up to produce smaller pieces of string that are all of the same lengths, with no string leftover. What is the greatest length, in cm, that she can make

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theleangreenbean

Greatest Common Factor (GCF)

The GCF of a set of values (typically two) is the greatest factor that applies to every number.

Solving the Question

We must find the GCF of 18 and 24:

List the factors of both values:

  • 18: 1, 2, 3, 6, 9, 18
  • 24: 1, 2, 3, 4, 6, 8, 12, 24

Let's identify the common factors between 18 and 24:

  • 18: 1, 2, 3, 6, 9, 18
  • 24: 1, 2, 3, 4, 6, 8, 12, 24

Therefore, the GCF is 6.

Answer

The greatest length that Liz can make using the strings is 6 cm.

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