Question

What is the greatest common factor of 306², 806², and 206³?

Answer 1

• 4

Explanation:

Find the prime factors of each number:

• 206 = 2*103 ⇒ 206² = 2²*103²
• 306 = 2*3²*17 ⇒ 306² = 2²*3⁴*17²
• 806 = 2*13*31 ⇒ 806² = 2²*13²*31²

The greatest common factor of the three numbers is:

• 2² = 4