2. Find common factors of the following pairs.
a. 25, 30
b. 9, 12
c. 5, 10
e. 40, 50
f. 10,25
g. 54,81
Please answer correct do please
Answers
1)The factors of 25 are 25, 5, 1.
The factors of 30 are 30, 15, 10, 6, 5, 3, 2, 1.
The common factors of 25 and 30 are 5, 1, intersecting the two sets above.
In the intersection factors of 25 ∩ factors of 30 the greatest element is 5.
Therefore, the greatest common factor of 25 and 30 is 5.
2)Two Numbers Factors Greatest Common Factor
9 and 12 9: 1, 3, 9 12: 1, 2, 3, 4, 6, 12 3
3)The factors of 5 are 5, 1.
The factors of 10 are 10, 5, 2, 1.
The common factors of 5 and 10 are 5, 1, intersecting the two sets above.
In the intersection factors of 5 ∩ factors of 10 the greatest element is 5.
Therefore, the greatest common factor of 5 and 10 is 5.
4)the factors of 40 are 1, 2, 4, 5, 8, 10, 20 and 40, and the factors of 50 are 1, 2, 5, 10, 25 and 50.
5)GCF of 10 and 25 is 5. 2.
6)The gcf of 54 and 81 can be obtained like this: The factors of 54 are 54, 27, 18, 9, 6, 3, 2, 1. The factors of 81 are 81, 27, 9, 3, 1. The common factors of 54 and 81 are 27, 9, 3, 1, intersecting the two sets above.