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The greatest common factor (GCF) is often also called the greatest common divisor (GCD) or highest common factor (HCF). Keep in mind that these different terms all refer to the same thing: the largest integer which evenly divides two or more numbers.
Since 198 is a single number, you could say that it shares all of its factors with itself. So the greatest factor of 198 is 198.
You need at least two numbers to find a GCF.
First find all the factors of 252 and 198 by using prime factorization.
252 = 2 x 126 = 2 x 2 x 63 = 2 x 2 x 7 x 9 = 2 x 2 x 7 x 3 x 3
198 = 2 x 99 = 2 x 11 x 9 = 2 x 11 x 3 x 3
Then find all of the common factors of these
252 = 2 x 3 x 3 x 7 x 2
198 = 2 x 3 x 3 x 11
As you can see, both 252 and 198 have two 3s and one 2. If you multiply these together, you get:
2 x 3 x 3 = 18
18 is your answer
- Factors of 138: 1, 2, 3, 6, 23, 46, 69, 138
- Factors of 140: 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
- Factors of 198: 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
- GCF (138, 140, 198) = 2
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