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Express both numbers in terms of their prime factors.
48 = 2 x 2 x 2 x 2 x 3 = 24 x 3
120 = 2 x 2 x 2 x 3 x 5 = 23 x 3 x 5
The factors in common are 23 and 3.
The Greatest Common Factor is therefore 23 x 3 = 8 x 3 = 24
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