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Find the GCF of the numbers using an appropriate method.

84 and 126

Find the prime factorization of the number, and write it in exponent form.

198

  • math - , Wednesday, February 23, 2011 at 11:14pm

    1) Find the prime factors of each respective number.

    84 = 2 x 2 x 3 x 7
    126 = 2 x 3 x 3 x 7

    Multiply the factors both numbers have in common. In this case multiply 2, 3 and 7.
    Therefore, the answer is: 42

    2) Again, we will find the prime numbers that go into 198. First divide by the smallest prime number that you can think of that goes easily into 198. I generally start with 2.

    198/2 = 99
    99/3 = 33
    33/3 = 11

    Therefore, your answers are 3^2, 2, and 11.

  • math - , Wednesday, February 23, 2011 at 11:14pm

    84- 2^2 3 7
    126- 2 3^2 7

    GCF= 2*3*7= 42

    198- 2 3^2 11

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