Factors and Multiples-
Greatest Common Factor
TEK 6.1E Objective 1
1. Which of these is the best definition for the greatest common factor
of two numbers?
a. The largest number that goes into each only once.
b. The smallest number that will go into the larger of the two numbers
c. The dividend of the larger number of the two.
d. The largest number that is a factor of both of them.
2. Which of these explains how to find the greatest common factor of two
a. List the factors of both numbers and find which of them are the same
and select the largest
b. Find the prime factorizations of both numbers and multiply together
the factors that they both have in common
c. Both of these
d. Neither of these
3. Finish this diagram to find the prime factorization of 84. Which is
a. 25 X 5
b. 5 X 2 X 7 X 3
c. 5 X 5 X 5 X 3
d. 7 X 3 X 2 X 2
4. After figuring the prime factorizations of two numbers, the next step
a. Divide the largest factor by the smallest factor if they are in common
b. Multiply all of the factors which they do not have in common
c. Multiply the greatest factors
d. Multiply all of the factors which they have in common
5. The prime factors of 16 are 2 X 2 X 2 X 2 and the prime factors of
24 are 2 X 2 X 2 X 3. What is the greatest common factor?
6. The greatest common factor of 57 and 78 is-
7. The greatest common factor of 24 and 36 is-
8. The greatest common factor of 28 and 54 is
9. The greatest common factor of 80 and 99 is
d. None of these
10. The Jones family and the Hawkins family both bought the exact same
Halloween candy packages at the same store. If the Hawkins family has 140
candies and the Jones family has 252 candies, what is the largest amount
of candy that could have been in each package?
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