Find the GCF of 42m−28n
To find the greatest common factor (GCF) of 42m - 28n, we need to find the largest expression that can divide both 42m and 28n without leaving a remainder.
First, we can factor out the terms:
42m = 2 * 3 * 7 * m
28n = 2 * 2 * 7 * n
Now, we can identify the common factors between 42m and 28n:
Common factors: 2, 7
To find the GCF, we multiply the common factors together:
GCF = 2 * 7 = 14
Therefore, the GCF of 42m - 28n is 14.
To find the greatest common factor (GCF) of 42m and -28n, we need to find the largest number or term that divides both 42m and -28n without leaving a remainder.
Step 1: Break down the given terms into their prime factors.
42 can be broken down into 2 * 3 * 7.
m does not have any prime factors other than itself.
-28 can be broken down into -1 * 2 * 2 * 7.
n does not have any prime factors other than itself.
Step 2: Group the common prime factors together.
The common factors are 2 * 7.
Step 3: Determine the minimum power of common factors.
Here, we observe that m and n do not have any common factors, so we include the minimum power of the common factors, which is 1.
Step 4: Multiply the common factors.
The GCF of 42m and -28n is 2 * 7 = 14.
Therefore, the GCF of 42m and -28n is 14.
To find the Greatest Common Factor (GCF) of 42m and -28n, we need to consider the common factors of both terms.
Step 1: Factorize each term completely.
42m = 2 × 3 × 7 × m
-28n = -1 × 2 × 2 × 7 × n
Step 2: Identify the common factors.
The common factors are 2 and 7.
Step 3: Determine the lowest exponent for each common factor.
In this case, we only have a single variable, "m" and "n," so the exponents do not matter.
Step 4: Multiply the common factors together.
2 × 7 = 14
Therefore, the GCF of 42m and -28n is 14.