Respuesta :
Answer:
The answer is 5.
Step-by-step explanation:
The answer is 5 because 5x8 and 5x5. find the greatest common factor by matching the biggest common factor of 25 and 40.This is why the answer is 5.
Step 1: 25 = 5[tex]^2[/tex]
Step 2: 40 = [tex]2^{3}[/tex] × [tex]5^{1}[/tex]
Step 3: List of positive integer factors of 25 that divides 25 without a remainder. That is 1 and 5
Step 4: List of positive integer factors of 40 that divides 25 without a remainder. 1, 2, 4, 5, 8, 10, 20
Step 5: We found the factors and prime factorization of 25 and 40. The biggest common factor number is the GCF number.
So the greatest common factor 25 and 40 is 5.