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Find the GCF 24 , 28

Solution

gcf

24, 28

4

Solution steps

24, 28

Prime factorization of

24 : 2 \cdot 2 \cdot 2 \cdot 3

24

24

divides by

224 = 12 \cdot 2

= 2 \cdot 12

12

divides by

212 = 6 \cdot 2

= 2 \cdot 2 \cdot 6

6

divides by

26 = 3 \cdot 2

= 2 \cdot 2 \cdot 2 \cdot 3

2, 3

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 2 \cdot 2 \cdot 3

Prime factorization of

28 : 2 \cdot 2 \cdot 7

28

28

divides by

228 = 14 \cdot 2

= 2 \cdot 14

14

divides by

214 = 7 \cdot 2

= 2 \cdot 2 \cdot 7

2, 7

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 2 \cdot 7

The prime factors common to

24, 28

are

= 2 \cdot 2

Multiply the numbers:

2 \cdot 2 = 4

= 4

\frac{5}{3}

\frac{15}{4}

\frac{17}{2}

\frac{100}{6}

t o a p erce n t a g e 29/30