Question

Find the \[G.C.F\]of $31141$ and $3102$.

Answer 1

Hint:- Factorize the given numbers first and check the greatest common factors.

Prime factors of $31141$ are $11,19,149$. Prime factorization of $31141$ in exponential form is
$31141 = {11^1} \times {19^1} \times {149^1}$
Prime factors of $3102$ are $2,3,11,47$. Prime factorization of $3102$ in exponential form is
$3102 = {2^1} \times {3^1} \times {11^1} \times {47^1}$
We found the factors and prime factorization of $31141$ and $3102$. The greatest common factor number is the \[G.C.F\] number.
So, the greatest common factor $31141$ and $3102$ is 11.
Hence, this is the answer.

Note:- We know that the \[G.C.F\] means the greatest common factor after factoring the number
Take out the common factor of those numbers and multiply them. This is the required \[G.C.F\]