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How do you find the highest common factors for 6 and 12?

Answer 1

Emery Allen

highest or greatest common factor: #6#

Given: Find the highest common factor for #6# and #12#

Greatest Common Factor (GCF) is the highest common factor.

First, enumerate each number's factors:

#6: 1 xx 6, 2 xx 3#; Factors of #6# are #1, 2, 3, color(red)(6)#

#12: 1 xx 12, 2 xx 6, 3 xx 4#; Factors of #12# are:#1, 2, 3, 4, color(red)(6), 12#

The GCF is the factor is the factor that is the largest factor common to both: #6#

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Answer 2

Julian Avila

To find the highest common factor (HCF) of 6 and 12, you can use various methods such as prime factorization, listing factors, or the Euclidean algorithm.

Using prime factorization:

Prime factorize both numbers:
- 6 = 2 * 3
- 12 = 2^2 * 3
Identify the common prime factors and their lowest powers:
- Common prime factors: 2 and 3
- Lowest powers: 2^1 * 3^1 = 6
Multiply the common prime factors with their lowest powers to find the HCF:
- HCF(6, 12) = 2 * 3 = 6

Therefore, the highest common factor of 6 and 12 is 6.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.