No . of girls in Ms. Jeffry's environmental club = 6
No . of boys in Ms. Jeffry's environmental club = 12
To find the maximum number of groups she can make , we have to find the highest common factor ( HCF ) of the number of boys and girls in her club .
Factors of 6 = 1 , 2 , 3 and 6
Factors of 12 = 2 , 3 , 4 , 6 and 12
Hence the highest common factor of 6 and 12 are 6 .
Therefore , the maximum number of groups Ms . Jeffry can make where the number of girls and boys are same are 6 .