Question

Express the H.C.F. of 240 and 1032 in the form H.C.F. = (a)240 +(b) 1032, find a,b​

Answer 1

Find the prime factorization of 240

240 = 2 × 2 × 2 × 2 × 3 × 5

Find the prime factorization of 1032

1032 = 2 × 2 × 2 × 3 × 43

To find the GCF, multiply all the prime factors common to both numbers:

Therefore, GCF = 2 × 2 × 2 × 3

GCF = 24