What is the Greatest Common Factor (GCF) of 4 and 12?

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Answer 1 · 2018-01-07T16:36:06

$4$ $4$

$4 = 2 \times 2$ $4 = 2xx2$

$12 = 2 \times 2 \times 3$ $12= 2xx2xx3$

The greater common factor $= 2 \times 2 = 4$ $=2 xx2 = 4$

Answer 2 · 2018-01-08T10:26:55

$G C F (4, 12) = 4$ $GCF(4,12)=4$

another approach is to list the factors out and pick out the common ones

Factors of $4 : {1, 2, 4}$ $4:{color(red)(1,2,4)}$

factors of $12 : {1, 2, 3, 4, 6, 12}$ $12:{color(red)(1,2,)3,color(red)(4),6,12}$

common factors $: {1, 2, 4}$ $:{1,2,4}$

$G C F (4, 12) = 4$ $GCF(4,12)=4$