GCF, LCM, & Exponents Review

Front

What is the greatest common factor (GCF)?

Back

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

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How do you find the GCF of 20a^2b^2 and 50b^3?

Back

Factor both numbers: 20a^2b^2 = 2^2 * 5 * a^2 * b^2 and 50b^3 = 2 * 5^2 * b^3. The GCF is 10b^2.

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What is the least common multiple (LCM)?

Back

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 LCM of 18 and 24?

Back

List the multiples of each number: Multiples of 18: 18, 36, 54, 72...; Multiples of 24: 24, 48, 72...; The LCM is 72.

Front

What is the rule for dividing exponents with the same base?

Back

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What is the product of powers rule?

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What is the prime factorization of 18?

Back

The prime factorization of 18 is 2 * 3^2.

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What is the prime factorization of 24?

Back

The prime factorization of 24 is 2^3 * 3.