Find the GCF of each pair of monomials. 1. 24, 48m
The GCF of 24 and 48m is 24m.
To find the Greatest Common Factor (GCF) of monomials, we need to find the largest monomial that divides evenly into both monomials.
Let's find the GCF of 24 and 48m:
Step 1: Write the prime factorization of each monomial:
- 24 = 2^3 * 3
- 48m = 2^4 * 3 * m
Step 2: Identify the common factors:
- The common factors are 2^3 and 3.
Step 3: Multiply the common factors:
- GCF = 2^3 * 3 = 8 * 3 = 24
Therefore, the GCF of 24 and 48m is 24.
To find the greatest common factor (GCF) of two monomials, we can find the GCF of their coefficients and the GCF of their variables.
Let's start with the coefficients. The coefficient of the first monomial is 24, and the coefficient of the second monomial is 48. The GCF of 24 and 48 is 24, as it is the largest number that divides both 24 and 48 evenly.
Now let's look at the variables. The first monomial has no variable, while the second monomial has the variable "m". Since there is no other variable to consider, the GCF of the variables is simply "m".
Putting it all together, the GCF of 24 and 48m is 24m.