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