Factor 48y+36z using the GCF.
The GCF (Greatest Common Factor) of 48y and 36z is 12.
So, we can factor out 12 from both terms:
48y + 36z = 12(4y + 3z)
To factor 48y + 36z using the greatest common factor (GCF), we need to find the largest common factor between the coefficients 48 and 36 and the variables y and z.
Step 1: Find the GCF of the coefficients 48 and 36.
The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.
The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, and 36.
The common factors between 48 and 36 are: 1, 2, 3, 4, 6, 12.
The largest common factor is 12.
Step 2: Divide each term by the GCF.
48y divided by 12 is 4y.
36z divided by 12 is 3z.
Step 3: Write the expression using the GCF and the division results.
48y + 36z = 12 (4y + 3z).
So, the expression 48y + 36z can be factored as 12 (4y + 3z).
To factor the expression 48y + 36z using the Greatest Common Factor (GCF) method, we need to find the largest common factor of both terms, 48y and 36z.
Step 1: Identify the factors of each term:
Factors of 48y: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, y, and y
Factors of 36z: 1, 2, 3, 4, 6, 9, 12, 18, 36, and z
Step 2: Identify the common factors of both terms:
Common factors of 48y and 36z: 1, 2, 3, 4, 6, and 12
Step 3: Determine the largest common factor:
The largest common factor of 48y and 36z is 12.
Step 4: Divide each term by the GCF:
48y ÷ 12 = 4y
36z ÷ 12 = 3z
Step 5: Write the factored expression:
48y + 36z = 12(4y + 3z)
Therefore, the factored form of 48y + 36z using the GCF is 12(4y + 3z).