Identify the Highest Common Factor (HCF) for the given sets of numbers
Home / 6th grade / Number / Multiples Factors Primes / Highest common factor
To find the highest common factor (HCF) of two or more numbers, you need to find the largest factor that is common to all of the numbers. Here's how to do it:
For example, find the HCF of 12 and 16:
Factors of 12: 1, 2, 3, 4, 6, 12
Factors of 16: 1, 2, 4, 8, 16
Common factors of 12 and 16: 1, 2, 4
The common factors of 12 and 16 are 1, 2, and 4. The greatest common factor among these factors is 4. Therefore, the HCF of 12 and 16 is 4.
Here's another example. Find the HCF of 18 and 24:
Factors of 18: 1, 2, 3, 6, 9, 18
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
The common factors of 18 and 24 are 1, 2, 3, and 6. The greatest common factor among these factors is 6. Therefore, the HCF of 18 and 24 is 6.
It's important to note that when dealing with larger numbers, it may be more efficient to use prime factorization to find the HCF.
In this topic you are asked to find the highest common factor of sets of 2 or 3 numbers ranging between 6 and 108.
Below is a table showing the first 8 question answer pairs for the topic "Highest common factor" as used in the lessons for this topic. Our games and tests for the topic use these 8 items plus 8 additional question answer pairs.
The topic "Highest common factor" is in the category Number for 6th grade (ages 11 to 12).
Home / 6th grade / Number / Multiples Factors Primes / Highest common factor
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