Question

Given the product of primes of 160 above, give the Highest Common Factor of 160 and 240.

Answer 1

Answer:

80

Step-by-step explanation:

Steps to find GCF

Find the prime factorization of 160

160 = 2 × 2 × 2 × 2 × 2 × 5

Find the prime factorization of 240

240 = 2 × 2 × 2 × 2 × 3 × 5

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

Therefore, GCF = 2 × 2 × 2 × 2 × 5

GCF = 80

Answer 2

Answer:

HCF of 240 and 160=

                               2     240,160

                               2    120,80

                                2    60,40

                                 2   30,20

                                   5  15,10

                                         3,2

∴ HCF of 240 and 160=

                               2x2x2x2x5=80

So, HCF of 240 and 160 = 80

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