Question

find the hcf of 688 and 180 by the primefactorisation method.

Answer 1

the prime factorization of 688
688 = 2 × 2 × 2 × 2 × 43 Find the prime factorization of 180
180 = 2 × 2 × 3 × 3 × 5To find the hcf, multiply all the prime factors common to both numbers:

Therefore, hCF = 2 × 2GCF = 4

Answer 2

688=2*2*2*2*43= 2^4*43
180=2*2*3*3*5=2^2*3^2*5
hcf(688,180)= 2

because 2 is the common factor of 688&180...