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Find the GCF 20 , 24

Solution

gcf

20, 24

4

Solution steps

20, 24

Prime factorization of

20 : 2 \cdot 2 \cdot 5

20

20

divides by

220 = 10 \cdot 2

= 2 \cdot 10

10

divides by

210 = 5 \cdot 2

= 2 \cdot 2 \cdot 5

2, 5

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 2 \cdot 5

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

The prime factors common to

20, 24

are

= 2 \cdot 2

Multiply the numbers:

2 \cdot 2 = 4

= 4

\frac{48}{15}

t h e \frac{54}{60}

t o a p erce n t a g e 9/25

60 \cdot 12

\frac{81}{4}