Numbers are co-prime when their GCF is 1.
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First, find the prime factorization of the number. For instance, with 45: 45 = 3 * 3 * 5 = 32 * 51 Now, from this prime factorization, any numbers whose prime factorizations do not include these factors is coprime to the number you have.
The prime factors of a squared number are the prime factors, if any, of its square root.
2 and 5 are coprime integers: they do not have any common factors. Therefore the GCF is 1 and the LCM is their product, 2x5=10.
To find the factors of a number you should first break that number down into its prime factors. In this case 65 can be broken down as: 65 = 5x13 To find any other factors, you then multiply any combination of these prime factors together. In this case, the factors of 65 come out as: 1, 5, 13 and 65.
Take any two coprime number, p and q. Coprime means that p and q do not share any common factor (other than 1). Then, 32p and 32q have a GCF of 32.