Final answer:
The correct answer is b. False. The greatest common factor (GCF) of 20 and 25 is 5, as it is the largest number that divides both of them without any remainder.
Step-by-step explanation:
The correct answer is option b. False. The greatest common factor (GCF) of two numbers is the largest number that divides both of them without leaving a remainder. To find the GCF of 20 and 25, we list the factors of each number:
- Factors of 20: 1, 2, 4, 5, 10, 20
- Factors of 25: 1, 5, 25
From the lists, the common factors of 20 and 25 are 1 and 5. The greatest common factor is the highest of these, which is 5. Therefore, the statement given is true, and the GCF of 20 and 25 is indeed 5.
The greatest common factor (GCF) of two numbers is the largest number that can divide both of them without leaving a remainder.
To find the GCF of 20 and 25, we can list the factors of each number and identify the highest common factor. The factors of 20 are 1, 2, 4, 5, 10, and 20. The factors of 25 are 1, 5, and 25. The highest common factor of 20 and 25 is 5, which means it is the greatest number that can divide both 20 and 25 evenly.
Therefore, the greatest common factor of 20 and 25 is indeed 5.