High School

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Find the GCF and the LCM of 142 and 143.

Answer :

Final answer:

The GCF of 142 and 143 is 1 since they are consecutive numbers. The LCM, on the other hand, is a product of the two numbers which is 20326.

Explanation:

The student is asking to find both the Greatest Common Factor (GCF) and the Least Common Multiple (LCM) of the numbers 142 and 143. To find the GCF of two numbers, we usually list all the factors of each number and look for the biggest one they have in common. However, when two numbers are consecutive, which means they come one after the other like 142 and 143, their GCF is always 1. So, the GCF of 142 and 143 is 1.

The LCM of 142 and 143 is actually a product of the two numbers when their GCF is 1. So, the LCM of 142 and 143 is 142*143 = 20326.

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