The highest common factor of a and b is $x$ . y is also a common factor of a and b if y is a number greater than $x$ .

True

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False

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Solution

The correct option is B
False

$x$ is the greatest common factor for a and b. So, there can't be any other factor which is greater than $x$ for a and b.
The given statement is false because it states that y is a common factor of a and b and also greater than $x$ .
Example: HCF of 12 and 18 = 6. So there can't be any number greater than 6 which is a common factor to both the numbers 12 and 18.

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The highest common factor of a and b is x. y is also a common factor of a and b if y is a number greater than x.

The highest common factor of a and b is $x$ . y is also a common factor of a and b if y is a number greater than $x$ .