How do you find the greatest common factor of 36, 12?
The long way would be to factorize both numbers into primes.
The lengthy route is always effective, but there might be a shortcut available.
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To find the greatest common factor (GCF) of 36 and 12, you can use either prime factorization or the method of listing factors.
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Prime Factorization Method:
- Prime factorize both numbers:
- 36 = 2^2 * 3^2
- 12 = 2^2 * 3
- Identify the common prime factors and their smallest exponents:
- Common factors: 2^2 and 3 (since 2^2 is common to both numbers, and 3 appears in both but only once in 12)
- Multiply the common factors:
- GCF = 2^2 * 3 = 4 * 3 = 12
- Prime factorize both numbers:
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Listing Factors Method:
- List all factors of each number:
- Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
- Factors of 12: 1, 2, 3, 4, 6, 12
- Identify the common factors:
- Common factors: 1, 2, 3, 6
- The greatest common factor is the largest common factor:
- GCF = 6
- List all factors of each number:
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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.
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.
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.
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.

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