Question

find the largest number which is a factor of 180 and 336?

Answer 1

12 is the largest number.

Find the prime factorization of 180

180 = 2 × 2 × 3 × 3 × 5

Find the prime factorization of 336

336 = 2 × 2 × 2 × 2 × 3 × 7

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

Therefore, HCF = 2 × 2 × 3 = 12

Answer 2

Solution -

Here, we have to find the HCF [Highest Common Factor] of 180 and 336

Note - The below solution is by prime factorization method

∴ Prime Factorization of 180

= 2 × 2 × 3 × 3 × 5 = 2² × 3² × 5

∴ Prime Factorization of 336

= 2 × 2 × 2 × 2 × 3 × 7 = 2⁴ × 3 × 7

∴ HCF of 180 and 336

= 2² × 3 = 12

∴ 12 is the largest number which is a factor of 180 and 336

#Be Brainly