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Method 1:

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List the factors of each number.

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Factors of 36: 2, 3, 4, 6, 9, 12, 18, 36

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Factors of 4: 2, 4

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Identify the greatest common factor.

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The greatest common factor of 36 and 4 is 4.

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Method 2:

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Write the prime factorization of each  number.

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36 =  2 × 2 × 3 × 3.

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4 =  2 × 2.

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The GCF is the product of the common prime factors in each number.

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GCF = 2 × 2 = 4.

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The greatest common factor of 36 and 4 is 4.

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The greatest common factor of 36 and 4 is 4.