Question

.Find the common factors of 125 & 250

Answer 1

Answer

125 = 5³

250 = 2 × 5³

After prime factorization, GCD of 125 and 250 is 125.

The common factors of 125 and 250 are factors of GCD.

→ Factors are 1, 5, 25, and 125.

So, their common factors are 1, 5, 25, and 125.

Learn more

"Why do we find GCD?"

The method can be explained with sets. Because the common factors of both come from each other, we need to know which are common.

Let's read the definition of GCD

"The largest factor for each of the numbers."

Instead of comparing factors, we know that GCD is the greatest common factor of both. The factors of GCD must be the factors of both numbers by definition.

Answer 2

while finding common factors of 2 numbers first we should find the numbers' factors.

Then the factors which will be common, those will be common factrs of given numbers.

The common factors of 125 and 250 are 1, 5, 25, and 125

        HOPE IT HELPS