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Popular Pre Algebra >

Find the GCF 16 , 32 , 44

Solution

gcf

16, 32, 44

Solution

4

Solution steps

16, 32, 44

Prime factorization of

16 : 2 \cdot 2 \cdot 2 \cdot 2

16

16

divides by

216 = 8 \cdot 2

= 2 \cdot 8

8

divides by

28 = 4 \cdot 2

= 2 \cdot 2 \cdot 4

4

divides by

24 = 2 \cdot 2

= 2 \cdot 2 \cdot 2 \cdot 2

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

44 : 2 \cdot 2 \cdot 11

44

44

divides by

244 = 22 \cdot 2

= 2 \cdot 22

22

divides by

222 = 11 \cdot 2

= 2 \cdot 2 \cdot 11

2, 11

are all prime numbers, therefore no further factorization is possible

= 2 \cdot 2 \cdot 11

The prime factors common to

16, 32, 44

are

= 2 \cdot 2

Multiply the numbers:

2 \cdot 2 = 4

= 4

Popular Examples

Convert to a Mixed Number 32/3 mixed number

\frac{32}{3}

Divide Using Long Division 121÷11 long division

\frac{121}{11}

Convert to a Percentage 6/11 convert

t o a p erce n t a g e 6/11

Convert to a Simplified Fraction 0.83 convert to fraction

0.83

Evaluate 170/2 long division

\frac{170}{2}

Frequently Asked Questions (FAQ)

What is gcd 16,32,44 ?
The solution to gcd 16,32,44 is 4

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