Question

Find lcm and hcf by factorising medhod

Answer 1

First we take out the lcm of 20 and 100.

To take it out we have to primefactorise them together until we get 1

To take out HCF or GCF of 20 and 100 we must

Prime Factorization of 20

Prime factors of 20 are 2, 5. Prime factorization of 20 in exponential form is:

20 = 22 × 51

Prime Factorization of 100

Prime factors of 100 are 2, 5. Prime factorization of 100 in exponential form is:

100 = 22 × 52

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10

Factors of 100

List of positive integer factors of 100 that divides 20 without a remainder.

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

Greatest Common Factor

We found the factors and prime factorization of 20 and 100. The biggest common factor number is the GCF number.

So the greatest common factor 20 and 100 is 20.