Factor the difference 77-28 by finding a common factor. Can you please walk me through this problem? I urgently need help.
seven is a common factor
7 (11 - 4)
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To factor the difference between 77 and 28 by finding a common factor, follow these steps:
Step 1: Find the factors of each number.
The factors of 77 are 1, 7, 11, and 77.
The factors of 28 are 1, 2, 4, 7, 14, and 28.
Step 2: Identify the common factors.
Since both 77 and 28 have factors of 1 and 7, the common factors between them are 1 and 7.
Step 3: Find the greatest common factor (GCF).
The greatest common factor (GCF) is the largest shared factor between the two numbers. In this case, the GCF is 7.
Step 4: Divide both numbers by the GCF.
Dividing 77 by 7 gives us 11, and dividing 28 by 7 gives us 4.
Step 5: Write the factored form of the difference.
The factored form of the difference between 77 and 28 is:
77 - 28 = 7 * (11 - 4)
So, the difference 77-28 can be factored as 7 * (11 - 4).
Of course! To factor the difference between two numbers, such as 77 and 28, we need to find a common factor that can be divided evenly into both numbers.
Step 1: List the factors of the first number, 77:
The factors of 77 are 1, 7, 11, and 77.
Step 2: List the factors of the second number, 28:
The factors of 28 are 1, 2, 4, 7, 14, and 28.
Step 3: Find the common factors:
The common factors of 77 and 28 are 1 and 7.
Step 4: Choose a common factor to divide the larger number. In this case, we can choose 7 as our common factor.
Step 5: Divide both numbers by the chosen common factor:
77 divided by 7 is equal to 11.
28 divided by 7 is equal to 4.
Step 6: Write the factored form using the common factor:
77 - 28 can be written as 7 × (11 - 4).
So, the factored form of 77 - 28 is 7 × (11 - 4).