Find the GCF of 15q + 6
To find the greatest common factor (GCF) of 15q + 6, we need to factorize the expression and look for common factors.
First, we can factorize the expression by finding the greatest common factor between the coefficients 15 and 6. The GCF of 15 and 6 is 3. Factoring 15q and 6 separately, we have:
15q = 3 * 5 * q
6 = 3 * 2
Now, let's look for the common factors between these factorizations. The only common factor is 3. So, the GCF of 15q + 6 is 3.
Find the GCF of 8d-20
To find the greatest common factor (GCF) of 8d - 20, we need to factorize the expression and look for common factors.
First, we can factorize the expression by finding the greatest common factor between the coefficients 8 and 20. The GCF of 8 and 20 is 4. Factoring 8d and 20 separately, we have:
8d = 4 * 2 * d
20 = 4 * 5
Now, let's look for the common factors between these factorizations. The only common factor is 4. So, the GCF of 8d - 20 is 4.
Find the GCF of 45+g 30h
factor 9z +18 using the GCF
Factor 16d - 12 using the GCF
Find the GCF of 18j+27
54
9
3
18
To find the greatest common factor (GCF) of 18j + 27, we need to factorize the expression and find the common factors.
First, let's factorize 18j and 27 separately:
18j = 2 * 3 * 3 * j
27 = 3 * 3 * 3
Now, let's look for the common factors between the factorizations. The only common factor is 3 raised to the power of 1 (3^1), since both have a single instance of the factor 3.
Therefore, the GCF of 18j + 27 is 3.
Find the GCF of 42m- 28n
To find the greatest common factor (GCF) of 42m - 28n, we need to factorize the expression and find the common factors.
First, let's factorize 42m and 28n separately:
42m = 2 * 3 * 7 * m
28n = 2 * 2 * 7 * n
Now, let's look for the common factors between the factorizations. The common factors are 2, 7, and m.
Therefore, the GCF of 42m - 28n is 2 * 7 * m, which can be simplified to 14m.
To find the greatest common factor (GCF) of 45+g and 30h, we need to look for common factors between the two expressions.
First, let's factorize the expressions.
45 + g cannot be simplified any further since there are no common factors among the terms.
30h can be factorized as 2 * 3 * 5 * h.
Now, let's find the common factors between 45+g and 30h. The only common factor is 1 since there are no other factors that both expressions share.
Therefore, the GCF of 45+g and 30h is 1.
To factor 9z + 18 using the greatest common factor (GCF), we need to find the largest common factor of the two terms.
First, let's find the GCF of 9z and 18. The GCF of 9z and 18 is 9, because both terms are divisible by 9.
Next, we will divide each term by the GCF of 9 to simplify the expression:
9z / 9 = z
18 / 9 = 2
Now, we can rewrite the expression using the GCF:
9z + 18 = 9 * (z + 2)
Therefore, the factored form of 9z + 18 is 9(z + 2).
To factor 16d - 12 using the greatest common factor (GCF), we need to find the largest common factor of the two terms.
First, let's find the GCF of 16d and 12. The GCF of 16d and 12 is 4, because both terms are divisible by 4.
Next, we will divide each term by the GCF of 4 to simplify the expression:
16d / 4 = 4d
-12 / 4 = -3
Now, we can rewrite the expression using the GCF:
16d - 12 = 4 * (4d - 3)
Therefore, the factored form of 16d - 12 is 4(4d - 3).