The greatest common factor of the two of the given expression 18u⁴v⁷ and 12u⁶x⁸v⁵ is 6u⁴v⁵.
What is an Expression?
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The highest common factor (HCF) is discovered by identifying all common factors of two integers and then picking the greatest one.
The two of the given expression in terms of factors can be written as,
18u⁴v⁷
= 2 × 3 × 3 × u × u × u × u × v × v × v × v × v × v × v
12u⁶x⁸v⁵
= 2 × 2 × 3 × u × u × u × u × u × u × x × x × x × x × x × x × x × x × v × v × v × v × v
Now, the common factors between the two of the given expressions are,
Common factors = 2 × 3 × u × u × u × u × v × v × v × v × v × v = 6u⁴v⁵
Hence, the greatest common factor of the two of the given expression 18u⁴v⁷ and 12u⁶x⁸v⁵ is 6u⁴v⁵.
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