To find the greatest common factor (GCF), we need to find the largest number or algebraic expression that divides evenly into both terms: 9z and 18.
For 9z, the prime factors are 3 and z.
For 18, the prime factors are 2 and 3.
The GCF is the product of the common prime factors: 3.
Thus, we can factor out 3 from 9z and 18:
9z + 18 = 3(3z+6)
Factor 9z + 18 using the GCF.
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To factor 9z + 18 using the greatest common factor (GCF), we need to find the largest number or algebraic expression that divides evenly into both terms: 9z and 18.
For 9z, the prime factors are 3 and z.
For 18, the prime factors are 2, 3, and 3 (since 18 = 2 * 3 * 3).
The common prime factor between 9z and 18 is 3. Therefore, we can factor out 3 from both terms:
9z + 18 = 3 * (3z + 6)
So, the factored form of 9z + 18 using the GCF is 3(3z + 6).
To factor 9z + 18 using the greatest common factor (GCF), we need to find the largest number or algebraic expression that divides evenly into both terms: 9z and 18.
For 9z, the prime factors are 3 and z.
For 18, the prime factors are 2, 3, and 3 (since 18 = 2 * 3 * 3).
The common prime factor between 9z and 18 is 3. Therefore, we can factor out 3 from both terms:
9z + 18 = 3 * (3z + 6)
So, the factored form of 9z + 18 using the GCF is 3(3z + 6).
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