Greatest Common Factor
The largest factor that two or more numbers have in common.
The Greatest Common Factor (GCF) is the largest number that divides evenly into two or more given numbers. In other words, it is the greatest number that both numbers can be divided by without producing a remainder.
To find the GCF of two or more numbers, you can start by listing all the factors of each number and identifying the common factors. Then, you can choose the greatest common factor from the list of common factors.
For example, let’s find the GCF of 12 and 18:
– Factors of 12: 1, 2, 3, 4, 6, 12
– Factors of 18: 1, 2, 3, 6, 9, 18
– Common factors: 1, 2, 3, 6
– GCF: 6
Therefore, the GCF of 12 and 18 is 6.
It is important to note that if one of the given numbers is a multiple of the other number (i.e., one number is divisible by the other), then the GCF is the smaller number. For example, the GCF of 16 and 8 is 8 because 8 is a factor of 16.
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