GCF stands for Greatest Common Factor. A factor is a number that goes into another number a whole number of times, and for the GCF to be larger that the least of the numbers, it would go into one number a fraction of a time.
The concepts of GCF and LCM are restricted to positive integers. Zero can be considered a multiple of every number. That would make it the LCM of every set of positive integers, making the concept essentially meaningless.
The least common factor of any set of positive integers is 1.
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Integers of 6 digits are normally greater than integers of 5 digits
The least common factor of any set of positive integers is 1.
Negative numbers are smaller than 0, while positive numbers are greater than zero. Therefore, when ordering integers from greatest to least, positive numbers come first. Here is an example of a list of integers ordered from greatest to least: 99, 54, 26, 21, 14, 8, 2, -5, -14, -62, -87, -89, -92, -98
Integers are numbers that are not followed by decimals, so they are "complete" numbers. Numbers below zero are not positive, and zero itself is neither positive nor negative, so positive integers are 1, 2, 3, 4, 5, and so on. 1 is the smallest number of these, so it is the least positive integer.
All positive integers are divisible by at least one number.
The least common factor of any two or more positive integers is always 1.
Actually, the "set of whole numbers" doesn't have a unique definition, so it's better to avoid that term, at least in professional circles. For some people, "whole numbers" means positive numbers (usually including zero), for others, it means "integers" (i.e., both positive and negative whole numbers). The only thing you can be sure about when the term "whole numbers" is used is that it does NOT include fractions or numbers with decimals. The term "natural numbers", on the other hand, was originally used for whole numbers starting with 1; but in recent decades, it has become quite common to include zero. To avoid confusion, you better use terms such as: "Positive integers" (greater or equal to 1) "Non-negative integers" (greater or equal to 0) "Integers" (any whole number, can be zero, positive, negative).
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The least common factor of any two or more positive integers is always 1
The least common factor of any set of positive integers is 1. The least common multiple of relatively prime numbers is their product.
At least the following families: all integers; all positive integers; all odd integers; and all "square integers", that is, integers that are squares of other integers.
Actually, the "set of whole numbers" doesn't have a unique definition, so it's better to avoid that term, at least in professional circles. For some people, "whole numbers" means positive numbers (usually including zero), for others, it means "integers" (i.e., both positive and negative whole numbers). The only thing you can be sure about when the term "whole numbers" is used is that it does NOT include fractions or numbers with decimals. The term "natural numbers", on the other hand, was originally used for whole numbers starting with 1; but in recent decades, it has become quite common to include zero. To avoid confusion, you better use terms such as: "Positive integers" (greater or equal to 1) "Non-negative integers" (greater or equal to 0) "Integers" (any whole number, can be zero, positive, negative).
The concepts of GCF and LCM are restricted to positive integers. Zero can be considered a multiple of every number. That would make it the LCM of every set of positive integers, making the concept essentially meaningless.
You need at least two numbers to find out what they have in common.