Question

The GCF of 28 and 16 is ?

Which expression uses the GCF and is equivalent to 28 + 16?

Answer 1

Answer:

The prime factorization of 28 is: 2 x 2 x 7. The prime factors and multiplicities 16 and 28 have in common are: 2 x 2. 2 x 2 is the gcf of 16 and 28. gcf(16,28) = 4.

Answer 2

Step-by-step explanation:

Given: 28 and 16.

To find: Find GCF. Which expression uses the GCF and is equivalent to 28 + 16?

Solution:

Step 1: Write prime factors of given numbers.

$28 = 2 \times 2 \times 7$

$16 = 2 \times 2 \times 2 \times 2$

Step 2: Write highest common factors of both numbers.

$GCF(28, \: 16) = 2 \times 2$

$GCF(28, \: 16) = 4$

Step 3: Use distributive property.

We can write 28+16 as a factor of GCF and remaining factors of numbers using distributive property,as follows:

$28 + 16 = GCF(28, \: 16)(7 + 4)$

or

$\bf 28+ 16 = 4(7 + 4)=44$

Final answer:

$\bf GCF(28, \: 16) = 4$

$\bf 28 + 16 = 4(7 + 4) = 44$

Hope it helps you.

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