0
One way to determine the greatest common factor is to find all the factors of the numbers and compare them.
The factors of 16X are 1, 2, 4, 8, 16, 1X, 2X, 4X, 8X, and 16X.
The factors of 36X are 1, 2, 3, 4, 6, 9, 12, 18, 36, 1X, 2X, 3X, 4X, 6X, 9X, 12X, 18X, and 36X.
The common factors are 1, 2, 4, 1X, 2X, and 4X. Therefore, the greatest common factor is 4X (if X>1).
The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together. Since we do not know what X is, but it is common to both numbers, it does not matter whether or not it is actually a Prime number.
The prime factors of 16X are 2, 2, 2, 2, and X.
The prime factors of 36X are 2, 2, 3, 3, and X.
The prime factors in common are 2, 2, and "X", so the greatest common factor is 2 x 2 x "X" = 4X.
Still curious? Ask our experts.
Chat with our AI personalities
Fran
Devin
SteveAdd your answer:
Earn +20 pts
What are the greatest common factor of 16x and 36x?
Greatest common factor of 16x and 36x is 4x.
What is the gcf of 16x and 36x?
The greatest common factor (GCF) of 16x and 36x is 4x. To find the GCF, you need to identify the common factors of both numbers. In this case, both 16 and 36 share a common factor of 4. Additionally, both terms have a common variable factor of x. Therefore, the GCF is 4x.
For all positive integers x what is the greatest common factor of the 2 numbers 216x and 180x?
36x
What is the expression of 36x plus 9 using greatest common factor?
The greatest common factor of 36 and 9 is 9. Therefore, we can factor out a 9 from the expression 36x + 9 to simplify it. This gives us 9(4x + 1) as the expression in terms of the greatest common factor.
Factor 4x2 plus 81-36x?
4x2 - 36x + 81 = 4x2 - 18x - 18x +81 = 2x(2x - 9) - 9(2x - 9) = (2x - 9)2
