75 , 100

Find the common factors for the numerical part:

75,100

The factors for 75 are all numbers between 1 and 75, which divide 75 evenly.

Check numbers between 1 and 75

Find the factor pairs of 75 where x⋅y=75.

xy175325515

List the factors for 75.

1,3,5,15,25,75

1,3,5,15,25,75

The factors for 100 are all numbers between 1 and 100, which divide 100 evenly.

Check numbers between 1 and 100

Find the factor pairs of 100 where x⋅y=100.

xy11002504255201010

List the factors for 100.

1,2,4,5,10,20,25,50,100

1,2,4,5,10,20,25,50,100

List all the factors for 75,100 to find the common factors.

75: 1,3,5,15,25,75

100: 1,2,4,5,10,20,25,50,100

The common factors for 75,100 are 1,5,25.

1,5,25

The GCF (HCF) of the numerical factors 1,5,25 is 25.

25

Find the HCF 75 , 100