The lowest term of two numbers refers to their greatest common divisor (GCD) or highest common factor (HCF). To find the lowest term in the numbers 64 and 32, we need to determine their GCD.
To start, we can list the factors of each number:
- Factors of 64: 1, 2, 4, 8, 16, 32, 64
- Factors of 32: 1, 2, 4, 8, 16, 32
Looking at the factors, we can see that the common factors of 64 and 32 are 1, 2, 4, 8, 16, and 32. Among these, the greatest common factor is 32. This means that the GCD of 64 and 32 is 32. Therefore, the lowest term when you divide both numbers by their GCD is:
64 ÷ 32 = 2
32 ÷ 32 = 1
Thus, when expressed in the lowest term, the ratio of 64 to 32 simplifies to 2:1.