The work that Ryan did to find the greatest common factor of 48 and 72 is shown below.

Prime factorization of 48: 2 x 2 x 2 x 2 x 3

Prime factorization of 72: 2 x 2 x 2 x 3 x 3

The greatest common factor is 2 ´ 2 ´ 2 ´ 3 x 3

What is Ryan’s error?

Ryan did not add the common prime factors to get the greatest common factor.

Ryan did not list all the factors in the prime factorization of 48.

Ryan did not list all the factors in the prime factorization of 72.

Ryan did not include only common prime factors in the greatest common factor.

Answer: The answer is Dgreatest common factorof 48 and 72 is 2 x 2 x 2 x 3 so Ryan did not include onlycommonprime factors in the greatest common factor.## What is the highest common factor?

HighestCommon Factor (HCF) of two numbers is the highest possible number that isdivisibleby both numbers.highestcommon factor is thecommonfactor between the two numbers but it should be the highest among allcommonfactors.highestcommon factor.factorizationof 48: 2 x 2 x 2 x 2 x 3factorizationof 72: 2 x 2 x 2 x 3 x 3commonfactors are ( 2 x 2 x 2) x 3includeits onlycommonfactor he includes 3 x 3 which is not present in the Prime factorization of 48.greatestcommon factor of 48 and 72 is 2 x 2 x 2 x 3 so Ryan did not include only common prime factors in the greatest common factor”.highest common factor,