Highest Common Factor (H.C.F)

Highest Common Factor (H.C.F),,

Bright Zoom Maths,

 The Highest Common Factor (H.C.F) of two (or more) numbers is the largest number that divides evenly into both numbers.

H.C.F is the largest of all the common factors.

Examples :

H.C.F. of 18 and 30 :

18 = 2 X 3 X 3

30 = 2 X 3 X 5


Common Factors of 18 and 30 is 2 x 3

H.C.F. is 2x3 = 6


H.C.F. of 48 and 72 :

48 = 2 X 2 X 2 X 2 X 3

72 = 2 X 2 X 2 X 3 X 3


Common Factors of 48
 and 72 is 2 X 2 X 2 X 3

H.C.F. is 2 X 2 X 2 X 3 = 24


There is no factor of one number, which is also a factor of the other number, except for 1. Such pair of numbers is called relatively prime; they are prime in relation to each other.

Examples

H.C.F. of 140 and 27 :

140 = 1 x 2 X 2 X 5 X 7

27 = 1 x 3 X 3 X 3


H.C.F. of 70 and 99 :

70 = 1 x 2 X 5 X 7

99 = 1 x 3 X 3 X 11


Looking at the factors, there is no common factor except number 1. Such pair of numbers is called relatively prime; they are prime in relation to each other.


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