Common factors are whole numbers that divide each of two given whole numbers evenly, leaving no remainder; for numbers within 100, they can be identified by listing factor pairs or using multiplication facts and arrays to reveal shared grouping structures. This understanding distinguishes common factors from common multiples and supports later work with divisibility and equivalent fractions, without requiring prime factorization, algebraic generalization, or factors of larger or more general numbers.
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A common factor is a whole number that divides evenly into two numbers.
To find common factors:
Step 1: List the factor pairs of .
So, the factors of are:
Step 2: List the factor pairs of .
So, the factors of are:
Step 3: Find the factors in both lists.
The numbers that appear in both lists are:
Therefore, the common factors of and are . Each one divides both numbers evenly, with no remainder.
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