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Answer 1 · 2017-09-15T14:22:54

4

List down all the factors of 24 and 28.

24:
$1, 2, 3, 4, 6, 8, 12, 24$ $1, 2, 3, color(blue)4, 6 ,8, 12, 24$
28:
$1, 2, 4, 7, 14, 28$ $1 ,2 ,color(blue)4, 7 ,14 ,28$

4 is the greatest common factor.

Answer 2 · 2017-09-15T14:23:58

See a solution process below:

Find the prime factors for each number as:

$24 = 2 \times 2 \times 2 \times 3$ $24 = 2 xx 2 xx 2 xx 3$

$28 = 2 \times 2 \times 7$ $28 = 2 xx 2 xx 7$

Now identify the common factors and determine the GCF:

$24 = 2 \times 2 \times 2 \times 3$ $24 = color(red)(2) xx color(red)(2) xx 2 xx 3$

$28 = 2 \times 2 \times 7$ $28 = color(red)(2) xx color(red)(2) xx 7$

Therefore:

$GCF = 2 \times 2 = 4$ $"GCF" = color(red)(2) xx color(red)(2) = 4$