Find the GCF of 18j + 27.
3
9
18
54
anyone looking at this the bot is fully correct expect for the mistake where it says 24(3m/4 - n)
The greatest common factor (GCF) of 18j and 27 is 9. This is because both numbers are divisible by 9.
Find the GCF of 42m - 28n.
7
14
2
84
To find the greatest common factor (GCF) of 42m and 28n, we need to find the largest number that divides both 42 and 28.
The prime factors of 42 are 2, 3, and 7.
The prime factors of 28 are 2, 2, and 7.
To find the GCF, we take the highest power of each common prime factor. In this case, the highest power of 2 is 2^1, and the highest power of 7 is 7^1.
So the GCF of 42m and 28n is 2 * 7 = 14. Therefore, the correct answer is 14.
Use properties of operations to factor 8w + 16 using the GCF.
4(2w + 4)
8(w + 2)
6(2w + 10)
2(4w + 8)
To factor out the greatest common factor (GCF) from 8w + 16, we need to find the largest number that divides both 8 and 16.
The prime factors of 8 are 2, 2, and 2.
The prime factors of 16 are 2, 2, 2, and 2.
To find the GCF, we take the highest power of each common prime factor. In this case, the highest power of 2 is 2^3.
So the GCF of 8w and 16 is 2^3 = 8.
To factor out the GCF from 8w + 16, we divide each term by 8:
8w/8 + 16/8 = w + 2.
Therefore, the factored form of 8w + 16 using the GCF is 8(w + 2). So the correct answer is 8(w + 2).
Factor -27h + 6 using the GCF.
3(-9h + 2)
3(-9h - 2)
3(9h - 2)
3(9h + 2)
To factor out the greatest common factor (GCF) from -27h + 6, we need to find the largest number that divides both -27 and 6.
The prime factors of 27 are 3, 3, and 3.
The prime factors of 6 are 2 and 3.
To find the GCF, we take the highest power of each common prime factor. In this case, the highest power of 3 is 3^1.
So the GCF of -27h and 6 is 3^1 = 3.
To factor out the GCF from -27h + 6, we divide each term by 3:
-27h/3 + 6/3 = -9h + 2.
Therefore, the factored form of -27h + 6 using the GCF is 3(-9h + 2). So the correct answer is 3(-9h + 2).
Factor 18m - 24n using the GCF.
6(3m - 4n)
2(9m - 12n)
9(2m - 3n)
3(6m - 12n)
To factor out the greatest common factor (GCF) from 18m - 24n, we need to find the largest number that divides both 18 and 24.
The prime factors of 18 are 2, 3, and 3.
The prime factors of 24 are 2, 2, 2, and 3.
To find the GCF, we take the highest power of each common prime factor. In this case, the highest power of 2 is 2^3, and the highest power of 3 is 3^1.
So the GCF of 18m and 24n is 2^3 * 3^1 = 8 * 3 = 24.
To factor out the GCF from 18m - 24n, we divide each term by 24:
(18m)/24 - (24n)/24
3m/4 - n.
Therefore, the factored form of 18m - 24n using the GCF is 24(3m/4 - n). So the correct answer is 24(3m/4 - n).