write the sum of the numbers as the product of their GCF and another sum 64+28 PLEASE ANSWER QUICKLY

64 and 28 have a GCF of 4, since 64 = 4 x 16, 28 = 4 x 7, and 7 and 16 have no factors other than 1 in common. Knowing that, we can rewrite 64 + 28 as

4 x 16 + 4 x 7

and then use the distributive property to rewrite it again as

4 x (16 + 7)

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MrRoyal MrRoyal · Answer 2 · 2021-10-14T11:27:07+02:00

The GCF of numbers is the greatest common factor between the numbers.

The GCF of the numbers is 4
The expression as the product of their GCF is 4 x 23

The expression is given as:

[tex]\mathbf{64 + 28}[/tex]

(a) The GCF of the numbers

The numbers are 64 and 28

The factors are:

[tex]\mathbf{64 = 2 \times 2 \times 2 \times 2 \times 2 \times 2}[/tex]

[tex]\mathbf{28 = 2 \times 2 \times 7}[/tex]

So, the GCF is:

[tex]\mathbf{GCF = 2 \times 2}[/tex]

[tex]\mathbf{GCF = 4}[/tex]

The GCF of the numbers is 4

(b) The product of their GCF

[tex]\mathbf{64 + 28}[/tex]

Express as sum of products

[tex]\mathbf{64 + 28 = 4 \times 16 + 4 \times 7}[/tex]

Factor out 4

[tex]\mathbf{64 + 28 = 4 \times (16 + 7)}[/tex]

Add 16 and 7

[tex]\mathbf{64 + 28 = 4 \times 23}[/tex]

Hence, the expression as the product of their GCF is 4 x 23