Greatest Common factor

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What is the Greatest Common Factor (GCF)?

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The GCF is the largest positive integer that divides all the given numbers without leaving a remainder.

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How do you find the GCF of two numbers?

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To find the GCF of two numbers, you can list the factors of each number and identify the largest factor they have in common, or use prime factorization.

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What is the prime factorization of a number?

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The prime factorization of a number is the expression of that number as a product of its prime factors.

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What is the GCF of 30 and 48?

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The GCF of 30 and 48 is 6.

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What are the factors of a number?

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Factors of a number are integers that can be multiplied together to produce that number.

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CCSS.4.OA.B.4

Front

List the factors of 25.

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The factors of 25 are 1, 5, and 25.

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CCSS.4.OA.B.4

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What is the GCF of 16 and 18?

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The GCF of 16 and 18 is 2.

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How can you use prime factorization to find the GCF?

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You can find the GCF by identifying the common prime factors in the prime factorizations of the numbers and multiplying them together.

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What is the GCF of 15 and 36?

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The GCF of 15 and 36 is 3.

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Why is it important to find the GCF in real-life applications?

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Finding the GCF is important in real-life applications such as dividing items into equal groups, simplifying fractions, and solving problems involving ratios.