The greatest common factor (GCF) is often also called the greatest common divisor (GCD) or highest common factor (HCF). Keep in mind that these different terms all refer to the same thing: the largest integer which evenly divides two or more numbers. The Greatest Common Factor (GCF) of 12, 16, and 28 is 4. The GCF is 4.
because 4X3=12
4x2(4x3 + 3)
1x12, 2x6, 3x4, 4x3, 6x2 1x12 1x12, 2x6, 3x4, 4x3, 6x2 1x12
x4 - 4x3 - 12x2 -32x + 64 (x - 4)(x + 2)(x + 2)(x - 4)
Take out the common factor, which in this case is 4x2. Divide each of the terms by this common factor. 12x2 - 4x3 = 4x2(3+x)
The greatest common factor (GCF) is often also called the greatest common divisor (GCD) or highest common factor (HCF). Keep in mind that these different terms all refer to the same thing: the largest integer which evenly divides two or more numbers. The Greatest Common Factor (GCF) of 12, 16, and 28 is 4. The GCF is 4.
The GCF for the numerical part is 2 . The factors for x2 are xâ‹…x x â‹… x . The factor for x1 is x itself
4x(x2 - 2)
because 4X3=12
The lowest common factor of any set of integers is 1.
The factors of 4 are 1x4, 2x2, 4x1 = 1, 2 and 4. The factors of 8 are 1x8, 2x4, 4x2, 8x1 = 1, 2, 4 and 8. The factors of 12 are 1x12, 2x6, 3x4, 4x3, 6x2 and 12x1 = 1, 2, 3, 4, 6 and 12. The common factors are therefore 1, 2 and 4, thus the greatest common factor is 4.
4x3+12x2+3x+9
4x2(4x3 + 3)
1x12, 2x6, 3x4, 4x3, 6x2 1x12 1x12, 2x6, 3x4, 4x3, 6x2 1x12
x4 - 4x3 - 12x2 -32x + 64 (x - 4)(x + 2)(x + 2)(x - 4)
4x3 - 19x2 - 5x =x (4x2 - 19x - 5) =x (4x + 1) (x - 5)