Question

find the greatest common factor of 34 and 48.

Explanation:

Step1: Find factors of 34

The factors of 34 are 1, 2, 17, 34 since \(34 = 1\times34=2\times17\).

Step2: Find factors of 48

The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 since \(48=1\times48 = 2\times24=3\times16 = 4\times12=6\times8\).

Step3: Identify common factors

The common factors of 34 and 48 are 1 and 2.

Step4: Determine GCF

The greatest among the common factors is 2.

Answer:

2