Questions: Find the GCF of the given numbers. 4,6

Solution Steps

To find the Greatest Common Factor (GCF) of two numbers, we can use the Euclidean algorithm, which involves repeated division and taking remainders until the remainder is zero. The last non-zero remainder is the GCF.

We are given two numbers: \(4\) and \(6\).

To find the Greatest Common Factor (GCF), we use the Euclidean algorithm, which involves the following steps:

1. Divide the larger number by the smaller number and find the remainder.
2. Replace the larger number with the smaller number and the smaller number with the remainder.
3. Repeat the process until the remainder is zero. The last non-zero remainder is the GCF.

1. Divide \(6\) by \(4\): \[ 6 \div 4 = 1 \quad \text{remainder} \quad 2 \]
2. Replace \(6\) with \(4\) and \(4\) with \(2\), then divide: \[ 4 \div 2 = 2 \quad \text{remainder} \quad 0 \]
3. The remainder is now zero, so the last non-zero remainder is \(2\).

Final Answer