Answer:
75
Step-by-step explanation:
prime factorization of
150= 2×3×5×5.
and
375= 3×5×5×5
taking common prime factors from both numbers
so HCF = 3×5×5 = 75
[tex]\begin{array}{r|l}150&2\\75&3\\25&5\\5&5\\1\end{array}\\\\150=2\cdot3\cdot5^2\\\\\begin{array}{r|l}375&3\\125&5\\25&5\\5&5\\1\end{array}\\\\375=3\cdot5^3\\\\\text{hcf}(150,375)=3\cdot5^2=75[/tex]
