(24,1)(12,2)(8,3)(6,4)
20 and 24's highest common factor is four.
24 and 60's highest common factor is 12.
36 and 24's highest common factor is 12.
If you are trying to find a factor of a number n, then there is no need to search beyond s = sqrt(n). For if a factor of n is greater than s, then its factor pair will be less than s and so you should have found that already.For proof, let u be the factor pair. That is, t*u = n. Also s*s = n so that t*u = s*sDivide both sides by u*s so that t/s = s/uNow, t > s implies that t/s > 1 and so s/u > 1 which means that s > u.
First, you do not. You must also test the square root of the given number. So the question should be in terms of "less than or equal to". Suppose you wish to test the number n and suppose s is the square root of n. Then s*s = n Now suppose p is factor of n, with factor pair q. so that n = p*q and, without loss of generality, assume that p ≤ q. Thus p*q = s*s so that p ≤ s ≤ q That is to say, one of the pair of factors of n will be less or equal to its square root while the other member of the factor pair will be greater or equal to the square root.
It is: 3
72 and 264's highest common factor is 24.
The GCF is 12.
24 and 12's highest common factor is 12.
Because 4 is a factor of 8. Any number that has 8 as a factor will also have 8's factors as factors.
26
1,2,3,4,6,8,12,24