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The factor tree finds the prime factorizations The prime factorizations find the GCF and LCM.
Example 30 and 42:
30
15,2
5,3,2

42
21,2
7,3,2

2 x 3 x 5 = 30
2 x 3 x 7 = 42
Select the common factors.
2 x 3 = 6, the GCF
Combine the factors, eliminating duplicates.
2 x 3 x 5 x 7 = 210, the LCM
Check it.
30 x 42 = 1260
210 x 6 = 1260
It checks.


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If b is a factor of a find HCF of a and b?

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Related Questions

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What is the HCF of 1296 and 960?

The Highest Common Factor (HCF) of 1296 and 960 is the largest positive integer that divides both numbers without leaving a remainder. To find the HCF, we can use the Euclidean algorithm, which involves dividing the larger number by the smaller number and then using the remainder as the new divisor in the next iteration. By repeating this process, we find that the HCF of 1296 and 960 is 48.


What is the highest common factor of 210 and 147?

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