Final answer:
The greatest common divisor (GCD) of 64 and 100 is 4, which is the highest number that divides both numbers without a remainder.
Step-by-step explanation:
The question 'What goes into 64 and 100' is likely asking for the greatest common divisor (GCD) or the highest number that evenly divides both 64 and 100 without leaving a remainder.
The greatest common divisor (GCD) of 64 and 100 is 4, which is the highest number that divides both numbers without a remainder.
To find the GCD of 64 and 100, we can use the Euclidean algorithm or simply list the factors of both numbers and find the greatest one they share.
Steps to find the GCD of 64 and 100:
- List the factors of 64: 1, 2, 4, 8, 16, 32, 64.
- List the factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100.
- Identify the common factors of both numbers: 1, 2, 4.
- Select the highest common factor, which is 4.
Therefore, the number that goes into both 64 and 100 is 4.