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Find the greatest common factor and least common multiple of 60 and 210.

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Final answer:

The GCF of 60 and 210 is 30, and the LCM is 420.


Step-by-step explanation:

To find the greatest common factor (GCF) and least common multiple (LCM) of 60 and 210, we can use prime factorization.

The prime factorization of 60 is 2 × 2 × 3 × 5.

The prime factorization of 210 is 2 × 3 × 5 × 7.

To find the GCF, we take the product of the common prime factors, which is 2 × 3 × 5 = 30.

To find the LCM, we take the product of all the prime factors, each raised to the highest power present, which is 2 × 2 × 3 × 5 × 7 = 420.


Learn more about GCF and LCM

User Kadir Erdem Demir
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