Find the greatest common factor of 48 and 90

Sure, here are the steps to find the greatest common factor (GCF) of 48 and 90:

Step 1: List the prime factors of each number.

• The prime factors of 48 are 2, 2, 2, 2, 3 (or 2^4 * 3^1).
• The prime factors of 90 are 2, 3, 3, 5 (or 2^1 * 3^2 * 5^1).

Step 2: Identify the common factors.

• The common factors are 2 and 3.

Step 3: Choose the lowest power of each common factor.

• The lowest power of 2 is 2^1 and the lowest power of 3 is 3^1.

Step 4: Multiply these common factors together.

• 2 * 3 = 6.

So, the greatest common factor of 48 and 90 is 6.