Question

Find the prime factors common to 750 and 910​

Answer 1

$\underline{ 2|750} \\ \underline{ 3|375} \\ \underline{ 5|125} \\ \underline{ 5| \: \: 25 } \\ \underline{ \: \: | \: \: \: \: \: 5} \\ \\ \\ \therefore \: \sf{750 = \: \boxed{ \sf 2 \times 3 \times {5}^{3} }}$

And,

$\underline{ 2|910} \\ \underline{ 5|455} \\ \underline{ 7| \: \: 91} \\ \underline{ \: \: | \: \: 13} \\ \\ \\ \therefore \: \: \sf 910 = \boxed{ \sf 2 \times 5 \times 7 \times 13}$

Hence,

• Common prime factor of 750 & 910 is 2 × 5 .