SOLUTION: MAT 145: Topics In Contemporary Math Number Theory and Prime Numbers Find the greatest common factor for the given numbers. 1) 10 and 35 2) 75 and 105 3) 125 and 1

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Question 1191892: MAT 145: Topics In Contemporary Math
Number Theory and Prime Numbers
Find the greatest common factor for the given numbers.
1) 10 and 35
2) 75 and 105
3) 125 and 175
4) 42, 60, and 18
Answer by MathLover1(20850) About Me  (Show Source):
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Find the greatest common factor for the given numbers.

1) 10 and 35
The factors of 10 are: 1, 2, 5, 10
The factors of 35+are: 1, 5, 7, 35

Then the greatest common factor is+5.

2) 75 and 105
The factors of 75+are: 1, 3, 5,+15, 25, 75
The factors of 105 are: 1, 3, 5, 7, 15, 21, 35, 105
Then the greatest common factor is 15.

3) 125 and 175
The factors of+125+are: 1, 5, 25,+125
The factors of 175+are: 1,+5, 7, 25, 35, 175
Then the greatest common factor is 25.


4) 42, 60, and 18

The factors of 18 are: 1,+2, 3, 6,+9, 18

The factors of 42 are: 1, 2, 3, 6, 7, 14, 21, 42
The factors of 60 are:+1, 2, 3,+4, 5, 6, 10, 12, 15, 20, 30, 60
Then the greatest common factor is 6.