Enter the sum of numbers as a product of their GCF.
27 + 36
The sum of the numbers as a product of their GCF is
____ * (____ +_____).
To find the sum of the numbers as a product of their greatest common factor (GCF), we first need to find the GCF of the numbers 27 and 36.
Step 1: Prime factorization
To find the GCF, we need to perform prime factorization of both numbers.
27 = 3 * 3 * 3
36 = 2 * 2 * 3 * 3
Step 2: Common prime factors
Identify the common prime factors between the two numbers. In this case, the common prime factor is 3.
Step 3: Determine the GCF
Since the GCF is the product of the common prime factors, we take the product of the common prime factors of both numbers: GCF = 3 * 3 = 9.
Step 4: Find the sum of the numbers as a product of their GCF
To express the sum of the numbers 27 and 36 as a product of their GCF, we write it as:
(GCF) * (quotient of the first number divided by the GCF + quotient of the second number divided by the GCF)
In this case, the sum is:
9 * (27/9 + 36/9)
Simplifying further:
9 * (3 + 4)
Finally, the sum of the numbers as a product of their GCF is:
9 * 7 = 63
27 = 3 * 3 * 3
36 = 3 * 3 * 4
Now what do you do?