14 is the GCF of anumber M and 210. What are possible values of M?

14 = GCF of M and 210

M = possible values

GCF = Greatest common denominator

Now, let’s start decomposing

=> 210 | 2

=> 105 | 2

=> 35 | 5

=> 7 | 7

=> 1

Thus, 2 x 3 x 5 x 7 = 210

Now let’s find the factors of 14

=> 14 | 2

=> 7 | 7

=> 1

Thus, 2 x 7 = 14

Notice that’s there’s no 14 in 210 shown factors, but the only GCF found is 7.

Thus, the value of M that we’re looking for is infinite. All numbers that has the GCF of 7 are applicable.