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What is the GCF of 24 and 48?

1 Answer

Nov 8, 2016

$G C F (24, 48) = 24$ $GCF(24,48)=24$

Explanation:

Factors 24: ${1, 2, 3, 4, 6, 8, 12, 24}$ ${1,2,3,4,6,8,12,24}$

Factors 48: ${1, 2, 3, 4, 6, 8, 12, 16, 24, 48}$ ${1,2,3,4,6,8,12,16,24,48}$

Common factors ${1, 2, 3, 4, 6, 8, 12, 24} \cap {1, 2, 3, 4, 6, 8, 12, 16, 24, 48}$ ${1,2,3,4,6,8,12,24}nn{1,2,3,4,6,8,12,16,24,48}$

$= {1, 2, 3, 4, 6, 8, 12, 24}$ $={1,2,3,4,6,8,12,24}$

$G C F (24, 48) = 24$ $GCF(24,48)=24$

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