Find the GCF of the terms of the polynomial. 44x^5 + 16x^3

The greatest common factor of two numbers is the greatest divisor of this two numbers (GCF of 12 and 18 is 6 because the factors of 12 are 1, 2, 3, 4, 6, 12 and the common factors of 18 are 1, 2, 3, 6, 9 and 18, so the common factors are 1, 2, 3, 6 and the greatest one is 6)
The common factors of the same variables is the variable with the least power (the common factor of (x² and x³ is x²)

∵ The polynomial is [tex]44x^{5}+16x^{3}[/tex]

- Find the greatest common factor of 44 and 16

∵ 44 = 44 × 1 , 22 × 2 , 11 × 4

∴ The factors of 44 are 1, 2, 4, 11, 22, 44

∵ 16 = 1 × 16 , 2 × 8 , 4 × 4

∴ The factors of 16 are 1, 2, 4, 8, 16

∵ The common factors of 44 and 16 are 1, 2, 4

∵ The greatest one is 4

∴ The GCF of 44 and 16 are 4

- Find the greatest common factor of the variable x

∵ The GCF of [tex]x^{5}[/tex] and [tex]x^{3}[/tex] is x with the least power

∴ The GCF of [tex]x^{5}[/tex] and [tex]x^{3}[/tex] is x³

∴ The greatest common factor of [tex]44x^{5}+16x^{3}[/tex] is 4 x³

The GCF of terms of the polynomial [tex]44x^{5}+16x^{3}[/tex] is 4 x³

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