Greatest Common factor

Front

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.

Front

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.

Front

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.

Front

What is the GCF of 30 and 48?

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The GCF of 30 and 48 is 6.

Front

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.

Front

List the factors of 25.

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

Front

What is the GCF of 16 and 18?

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The GCF of 16 and 18 is 2.

Front

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.

Front

What is the GCF of 15 and 36?

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The GCF of 15 and 36 is 3.

Front

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.