Question

the hcf of two numbers is 11.find the total common factors of the numbers.​

Answer 1

$Given \: HCF \: of \: two \: numbers \: is \:11.$

$Since, 11 \: is \: a \: prime ,\\So \: the \: total \\common \: factors \: must \:be \: \pink {2} .\\ i.e ., 1 \:and \:11$

Example:

Let 22 and 165 are two numbers.

22 = 1 × 22

= 2 × 11

165 = 1 × 165

= 3 × 55

= 5 × 33

= 11 × 15

Factors of 22 = { 1,2,11,22 }

Factors of 165 = { 1,3,5,11,15,33,55,165 }

HCF (22,165) = 11

Common factors of 22 and 165 = { 1,11 }

Total Common Factors of 22 and 165 = 2

•••♪