To find the greatest common factor (GCF) easily, you can follow these steps:
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List the factors of each number: Start by listing all the factors of the given numbers. A factor is a number that divides evenly into another number without leaving a remainder.
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Identify the common factors: Look for the factors that are common to both numbers. These are the numbers that appear in the factor lists of both numbers.
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Determine the greatest common factor: From the common factors, identify the largest number. This number is the greatest common factor (GCF) of the given numbers.
For example, let’s find the GCF of 24 and 36:
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24 Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
Common factors: 1, 2, 3, 4, 6, 12
Greatest common factor: 12
Therefore, the greatest common factor of 24 and 36 is 12.
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