Final answer:
To find the GCF of 561g and 700g, prime factors of both numbers are evaluated. Since they do not share any common factors, the GCF is 1, which means none of the options provided (a) 1499, (b) 0719, (c) 1410 are correct. The answer should be indicated as 'none of the above' or '?' in this case.
Step-by-step explanation:
Determining the Greatest Common Factor (GCF)
The question asks for the Greatest Common Factor (GCF) of 561g and 700g. To find the GCF, we list out the prime factors of both numbers and then identify the largest common factor they share.
- Prime factors of 561: 3 x 11 x 17.
- Prime factors of 700: 2 x 2 x 5 x 5 x 7.
- Identify common factors: There are no common prime factors, so the GCF is 1.
Therefore, the GCF of 561g and 700g is 1. The correct answer is, none of the options are correct (d) none of the provided choices match the GCF.