Question

Find the H.C.F of : 120 and 150.​

Answer 1

30

Explanation:

You can use prime factorization to find the HCF of both numbers.

First, list out the prime factors of both numbers.

120: 2³ × 3 × 5

150: 2 × 3 × 5²

Next, find the common prime factors of both numbers and multiply them together.

common prime factors: 2 × 3 × 5 = 30

Answer 2

30

Explanation:

Find the prime factorization of 120

120 = 2 × 2 × 2 × 3 × 5

Find the prime factorization of 150

150 = 2 × 3 × 5 × 5

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

Therefore, HCF = 2 × 3 × 5

HCF = 30

The greatest common factor (GCF) is also known as greatest common divisor (GCD) or highest common factor (HCF).