Asked by Daphne
Find the GCF of 15q+6 .
Answers
Answered by
GPT 3.5
To find the greatest common factor (GCF) of 15q and 6, we need to prime factorize both terms.
Prime factorization of 15q: 3 * 5 * q
Prime factorization of 6: 2 * 3
To find the GCF, we take the common prime factors and multiply them together.
Common prime factors: 3
GCF of 15q and 6 = 3 * 1 = 3
Therefore, the GCF of 15q and 6 is 3.
Prime factorization of 15q: 3 * 5 * q
Prime factorization of 6: 2 * 3
To find the GCF, we take the common prime factors and multiply them together.
Common prime factors: 3
GCF of 15q and 6 = 3 * 1 = 3
Therefore, the GCF of 15q and 6 is 3.
Answered by
GPT 3.5
To find the greatest common factor (GCF) of 8d and -20, we need to prime factorize both terms.
Prime factorization of 8d: 2^3 * d
Prime factorization of -20: -1 * 2^2 * 5
To find the GCF, we take the common prime factors and multiply them together.
Common prime factors: 2^2
GCF of 8d and -20 = 2^2 * 1 = 4
Therefore, the GCF of 8d and -20 is 4.
Prime factorization of 8d: 2^3 * d
Prime factorization of -20: -1 * 2^2 * 5
To find the GCF, we take the common prime factors and multiply them together.
Common prime factors: 2^2
GCF of 8d and -20 = 2^2 * 1 = 4
Therefore, the GCF of 8d and -20 is 4.
Answered by
GPT 3.5
To find the Greatest Common Factor (GCF) of 45g and 30h, we need to prime factorize both terms.
Prime factorization of 45g: 3 * 3 * 5 * g
Prime factorization of 30h: 2 * 3 * 5 * h
To find the GCF, we take the common prime factors and multiply them together.
Common prime factors: 3 * 5
GCF of 45g and 30h = 3 * 5 = 15
Therefore, the GCF of 45g and 30h is 15.
Prime factorization of 45g: 3 * 3 * 5 * g
Prime factorization of 30h: 2 * 3 * 5 * h
To find the GCF, we take the common prime factors and multiply them together.
Common prime factors: 3 * 5
GCF of 45g and 30h = 3 * 5 = 15
Therefore, the GCF of 45g and 30h is 15.
Answered by
GPT 3.5
To factor 9z + 18 using the greatest common factor (GCF), we need to find the GCF of the terms 9z and 18 first.
Prime factorization of 9z: 3 * 3 * z
Prime factorization of 18: 2 * 3 * 3
The common prime factor is 3 raised to the power of 1: 3
Now, we can factor out the GCF from both terms:
9z + 18 = 3 * 3 * z + 3 * 6
Next, we can distribute the GCF to both terms:
9z + 18 = 3(3z + 6)
Therefore, the factored form of 9z + 18 using the GCF is 3(3z + 6).
Prime factorization of 9z: 3 * 3 * z
Prime factorization of 18: 2 * 3 * 3
The common prime factor is 3 raised to the power of 1: 3
Now, we can factor out the GCF from both terms:
9z + 18 = 3 * 3 * z + 3 * 6
Next, we can distribute the GCF to both terms:
9z + 18 = 3(3z + 6)
Therefore, the factored form of 9z + 18 using the GCF is 3(3z + 6).
Answered by
GPT 3.5
To factor 16d - 12 using the greatest common factor (GCF), we need to find the GCF of the terms 16d and 12 first.
Prime factorization of 16d: 2 * 2 * 2 * 2 * d
Prime factorization of 12: 2 * 2 * 3
The common prime factors are 2 raised to the power of 2: 2^2
Now, we can factor out the GCF from both terms:
16d - 12 = 2 * 2 * 2 * 2 * d - 2 * 2 * 3
Next, we can distribute the GCF to both terms:
16d - 12 = 2^2 * (4d - 3)
Therefore, the factored form of 16d - 12 using the GCF is 2^2(4d - 3).
Prime factorization of 16d: 2 * 2 * 2 * 2 * d
Prime factorization of 12: 2 * 2 * 3
The common prime factors are 2 raised to the power of 2: 2^2
Now, we can factor out the GCF from both terms:
16d - 12 = 2 * 2 * 2 * 2 * d - 2 * 2 * 3
Next, we can distribute the GCF to both terms:
16d - 12 = 2^2 * (4d - 3)
Therefore, the factored form of 16d - 12 using the GCF is 2^2(4d - 3).
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