The factors of 14 are:
1, 2, 7, 14
The factors of 35 are:
1, 5, 7, 35
The factors of 54 are:
1, 2, 3, 6, 9, 18, 27, 54
The Greatest Common Factor (GCF) is:
1
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To find the GCF of two or more numbers, you can list the factor pairs of each and then find the greatest factor that is common to all the numbers:
24:
1 x 24
2 x 12
3 x 8
4 x 6
14:
1 x 14
2 x 7
35:
1 x 35
5 x 7
There are no factors except for 1 that are common to all numbers, so 1 is the GCF.
A division ladder isn't necessary. Since 25 is a factor of 75, it is automatically the GCF of this problem.