Find the HCF of the following numbers by
prime factorization methods (i) 80 and 120​

2 thoughts on “Find the HCF of the following numbers by<br />prime factorization methods (i) 80 and 120​”

1. Answer:

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   Step-by-step explanation:

   What is the H

   CF of 80 and 120?

   • Find the prime factorization of 80. 80 = 2 × 2 × 2 × 2 × 5.
   • Find the prime factorization of 120. 120 = 2 × 2 × 2 × 3 × 5.
   • To find the GCF, multiply all the prime factors common to both numbers: Therefore, GCF = 2 × 2 × 2 × 5.
   • HCF = 40.

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2. Answer:

   Step-by-step explanation:

   Factors of 80 = 2× 2× 2× 2× 5 = 2⁴ × 5

   Factors of 120 = 2× 2× 2× 3× 5 = 2³× 3 × 5

   HCF = 2³ × 5 = 2× 2× 2× 5 = 40

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