Using the greatest common factor for one term, how can you write 16 + 14 as a product?(1 point) Responses 8(5 + 1) 8(5 + 1) 9(2 +5) 9(2 +5) 7(8 + 1) 7(8 + 1) 2(8 + 7)
Using the greatest common factor for one term of 16 + 14, you cannot write it as a product because there is no common factor greater than 1 for both terms.
To find the greatest common factor for 16 and 14, we need to find the largest number that divides both 16 and 14 evenly. In this case, the greatest common factor is 2.
To write 16 + 14 as a product using the greatest common factor, we can factor out the greatest common factor from both terms and then rewrite the expression.
So, 16 + 14 can be written as:
2(8) + 2(7)
Now, we can simplify this expression by distributing the greatest common factor:
2 * 8 + 2 * 7
Which gives us:
16 + 14
So, the product form of 16 + 14 using the greatest common factor is 2(8 + 7).
To express the sum 16 + 14 as a product using the greatest common factor (GCF), we need to find the largest factor that both 16 and 14 share.
Step 1: Find the factors of 16
The factors of 16 are 1, 2, 4, 8, and 16.
Step 2: Find the factors of 14
The factors of 14 are 1, 2, 7, and 14.
Step 3: Determine the greatest common factor (GCF)
The greatest common factor of 16 and 14 is 2, which is the largest number that both lists share.
Step 4: Express the sum as a product using the GCF
To write 16 + 14 as a product using the GCF of 2, we can factor out the 2 from each term:
2(8 + 7)
Therefore, the correct answer is 2(8 + 7).