Question

Find the G.C.F of $2541$ and $3102$ in the scale of seven.

• A. $87$
• B. $54$
• C. $33$
• D. $85$

Answer 1

The correct option is C $33$

Prime factors of $2541$ are $3,7,11,11$. Prime factorization of $3102$ in exponential form is

$2541=3^1\times 7^1\times {11}^2$

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 $2541$ and $3102$. The biggest common factor number is the $GCF$ number.

So, the greatest common factor $2541$ and $3102$ is $3\times 11=33$.

Hence, this is the answer.