The solution to gcd 32,48 is 16

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Popular Pre Algebra >

Find the GCF 32 , 48

Solution

gcd

Solution

16

Solution steps

32, 48

Prime factorization of

32 : 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2

32

32

divides by

232 = 16 \cdot 2

= 2 \cdot 16

16

divides by

216 = 8 \cdot 2

= 2 \cdot 2 \cdot 8

8

divides by

28 = 4 \cdot 2

= 2 \cdot 2 \cdot 2 \cdot 4

4

divides by

24 = 2 \cdot 2

= 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2

Prime factorization of

48 : 2 \cdot 2 \cdot 2 \cdot 2 \cdot 3

48

48

divides by

248 = 24 \cdot 2

= 2 \cdot 24

24

divides by

224 = 12 \cdot 2

= 2 \cdot 2 \cdot 12

12

divides by

212 = 6 \cdot 2

= 2 \cdot 2 \cdot 2 \cdot 6

6

divides by

26 = 3 \cdot 2

= 2 \cdot 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 2 \cdot 3

The prime factors common to

32, 48

are

= 2 \cdot 2 \cdot 2 \cdot 2

Multiply the numbers:

2 \cdot 2 \cdot 2 \cdot 2 = 16

= 16

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Frequently Asked Questions (FAQ)

What is gcd 32,48 ?
The solution to gcd 32,48 is 16

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Find the GCF 32 , 48

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is gcd 32,48 ?

Popular topics