How do you find the greatest common factor of 36, 12?

Answer 1

The long way would be to factorize both numbers into primes.

#36=2xx2xx3xx3# #12=2xx2xx3# Primes they both have in common: #2xx2xx3=12#
But you could also have seen that: #36=3xx12# #12=1xx12#

The lengthy route is always effective, but there might be a shortcut available.

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Answer 2

To find the greatest common factor (GCF) of 36 and 12, you can use either prime factorization or the method of listing factors.

  1. 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
  2. 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
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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.

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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