Answer:
Hello,
we know that to find the GCF we descompose the numbers and then we multiply the common terms with the lowest exponent. So we first descompose 210:
210 | 2
105 | 3
35 | 5
7 | 7
1
210= 2x3x5x7
Now one possible solution is 14 because:
14 | 2
7 | 7
1
As you can see 2 and 7 are common terms, so:
GCF= 2x7
GCF=14 --> It's correct
Then, if we analyze it, we'll realize that we have an infinitive number of solutions. The only requirement is that "M" must have 2 and 7 when we descompose it.
For example:
M= 2²x7x3x11
M=924
924 is another possible solution, it doesn't matter if 2 or 7 repeat, since I said the GCF is the multiplication of the common terms with the LOWEST exponent. That's all.
Explanation: