Prime Factorization, GCF, and LCM

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What is Prime Factorization?

Back

Prime Factorization is the process of breaking down a number into its prime factors, which are the prime numbers that multiply together to give the original number.

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What is the GCF (Greatest Common Factor)?

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The GCF of two or more numbers is the largest number that divides all of them without leaving a remainder.

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What is the LCM (Least Common Multiple)?

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The LCM of two or more numbers is the smallest number that is a multiple of all of them.

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How do you find the GCF of two numbers?

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To find the GCF, list the prime factors of each number and multiply the common factors.

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How do you find the LCM of two numbers?

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To find the LCM, list the prime factors of each number, take the highest power of each prime factor, and multiply them together.

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What is the prime factorization of 60?

Back

The prime factorization of 60 is 2^2 • 3 • 5.

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What is the prime factorization of 84?

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The prime factorization of 84 is 2^2 • 3 • 7.

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What is the GCF of 60 and 84?

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The GCF of 60 and 84 is 12.

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What is the LCM of 60 and 84?

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The LCM of 60 and 84 is 420.

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What is the prime factorization of 28?

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The prime factorization of 28 is 2^2 • 7.