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Find the GCF of each set of number. Use listing method, prime factorization and continuous division. ___1. 32 and 40 ___ 2. 24 and 12​

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Camiloandrealizago

Answer:

  1. 8
  2. 12

Step-by-step explanation:

  1. Prime factorization of 32 and 40 is (2 × 2 × 2 × 2 × 2) and (2 × 2 × 2 × 5) respectively. As visible, 32 and 40 have common prime factors. Hence, the GCF of 32 and 40 is 2 × 2 × 2 = 8.
  2. Prime factorization of 12 and 24 is (2 × 2 × 3) and (2 × 2 × 2 × 3) respectively. As visible, 12 and 24 have common prime factors. Hence, the GCF of 12 and 24 is 2 × 2 × 3 = 12.

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