Question

1. Find the common factors of each of the following:
a. 20, 28
b. 42, 60
c. 63, 91
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Answer 1

Answer:

a. Greatest common factor (GCF) of 20 and 28 is 4. We will now calculate the prime factors of 20 and 28, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20 and 28.

b. The gcf of 62 and 40 can be obtained like this: The factors of 62 are 62, 31, 2, 1. The factors of 40 are 40, 20, 10, 8, 5, 4, 2, 1. The common factors of 62 and 40 are 2, 1, intersect.

C. The gcf of 91 and 63 can be obtained like this: The factors of 91 are 91, 13, 7, 1. The factors of 63 are 63, 21, 9, 7, 3, 1. The common factors of 91 and 63 are 7, 1, intersecting the two sets above.

Answer 2

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Factors of 20=1,2,4,5,10,20

Factors of 28=1,2,4,7,14,28

Common factors =1,2,4.