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If you write out all the factors of 14, you get 14 and 1, then 2 and 7. If you write out all the factors of 24, you get 24 and 1, or 8 and 3, or 6 and 4, or (6,2,2,), or (3,2,2,2)

The largest factor whoch si common to both is 2. So pull a 2 out of both terms, which gives 2(7x-12) you can tell that we are done since the terms 7 and 12 do not have any more common factors.

The factorization of 14x - 24 using the GCF (greatest common factor) is; 2(7x - 12)

The factors of 14x are;

  • 1, 2, 7, 14, x

The factors of 24 are;

  • 1, 2, 3, 4, 6, 8, 12 and 24.

By observation, the greatest common factor of both terms is; 2.

Therefore, we can factor the expression by pulling out a 2 from both terms as follows;

2(7x - 12)

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