Question

Find the H.C.F of $64,32$ using prime factorisation and listing factors method.

Answer 1

Step 1: Finding H.C.F of $64$ and $32$ using Prime Factorization Method.

We have, $64=2\times 2\times 2\times 2\times 2\times 2$

$32=2\times 2\times 2\times 2\times 2$

Common prime factors of the given numbers $64$ and $32$ $=2\times 2\times 2\times 2\times 2$

Thus, H.C.F of $64$ and $32$$=2\times 2\times 2\times 2\times 2$

$=32$

Step 1: Finding H.C.F of $64,32$ using Listing Factors Method.

The factors of $64$ and $32$ are as follows :-

$64=1,2,4,8,16,32$ and $64$

$32=1,2,4,8,16$ and $32$

Common factors of $64$ and $32$ $=1,2,4,8,16,32$

Highest common factor $64$ and $32$ $=32$

Thus, H.C.F of $64$ and $32$ is $32$