Answer :

Final answer:

To find the HCF of 156 and 208, factorize both numbers using the prime factorization method, identify the common prime factors, and multiply them together.

Explanation:

To find the HCF (Highest Common Factor) of 156 and 208, we can use the prime factorization method. First, we will factorize both numbers:

  1. For 156, we have 2 x 2 x 3 x 13
  2. For 208, we have 2 x 2 x 2 x 2 x 13

Next, we find the common prime factors between the two factorizations, which are 2 and 13. Finally, we multiply these common factors together to get the HCF: HCF(156, 208) = 2 x 13 = 26.

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