Answer:
1.
Explanation:
The greatest common factor is the largest positive integer that divides evenly into all numbers with zero remainder.
So, let's factor each number:
12w⁴: To factor it, factor 12 and w⁴ separately.
12: 1, 2, 3, 4, 12
w⁴: 1, w, w², w³, w⁴
So, the factor of 12w⁴ is all the combinations of the factor of 12 and w⁴.
1, 2, 3, 4, 12, 1w, 2w, 3w, 4w, 12w, 1w², 2w², ..., 12w⁴
5y³: To factor it, factor 5 and y³ separately.
5: 1, 5
y³: 1, y, y², y³
So, the factors of 5y³ are all the combinations of the factor of 5 and y³.
1, 5, 1y, 5y, 1y², ... , 5y³
The only factor that 12w⁴ and 5y³ have in common is 1.
Answer: 1.