Final answer:
The conversion factor between noggins and gallons is 1 noggin = 0.07 gallons.
Step-by-step explanation:
To convert between noggins and gallons, we need to find the conversion factor. Since 1 noggin is equal to 0.28 mutchkin, and 1 mutchkin is equal to 0.25 gallon, we can multiply these two conversion factors together to find the conversion factor between noggins and gallons. So, 1 noggin is equal to 0.28 mutchkin * 0.25 gallon = 0.07 gallons. Therefore, the correct conversion factor is 1 noggin = 0.07 gallons.