An intriguing question. On the surface, it would seem that a thing and its opposite would not have anything in common but in mathematics, both factors and non-factors are numbers.
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The factors of 68 are:1, 2, 4, 17, 34, 68The factors of 250 are:1, 2, 5, 10, 25, 50, 125, 250The common factors are:1, 2
All non-zero integers have factors. Some of the numbers have some of the same factors as other numbers. The largest of these is known as the highest common factor, or HCF.The factors of 30 are:1, 2, 3, 5, 6, 10, 15, 30The factors of 42 are:1, 2, 3, 6, 7, 14, 21, 42The common factors are:1, 2, 3, 6The Greatest Common Factor:GCF = 6
We don't. Numbers always have a common factor. 1 is a common factor to every set of non-zero integers. If two numbers don't have any prime factors in common, we say their GCF is 1.
To identify the common factors of two numbers, you would start by breaking them down into their prime factors. However, in this case, 23 and 29 are both prime and so cannot be broken down any further. Thus, their only shared common factor is 1. For any pair of non-identical prime numbers, the only common factor will be 1.
The common factors are 1 and 3. The greatest of these is 3.