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
____ * (____ +_____).
30+24
To find the sum of two numbers as a product of their greatest common factor (GCF), we need to first find the GCF of the two numbers. Once we have the GCF, we can express the sum as a product by multiplying the GCF by the sum divided by the GCF.
Let's find the GCF of 27 and 36 using the prime factorization method.
Prime factorization of 27: 3 * 3 * 3
Prime factorization of 36: 2 * 2 * 3 * 3
To find the GCF, we need to find the common factors between the two numbers. By comparing the prime factorizations, we see that the numbers share two 3's as a common factor.
GCF = 3 * 3 = 9
Now we can express the sum of 27 and 36 as a product of their GCF:
Sum = 27 + 36 = 63
Product = GCF * (Sum / GCF) = 9 * (63/9) = 9 * 7 = 63
Therefore, the sum of the numbers 27 and 36 as a product of their GCF is 63.