Gcf 90, 150

Answer 1

To find the greatest common factor (GCF) of 90 and 150, we can use the prime factorization method.

1. Prime factorization of 90:

   • 90 = 2 × 3² × 5

2. Prime factorization of 150:

   • 150 = 2 × 3 × 5²

3. Identify the common prime factors:

   • Common prime factors are 2, 3, and 5.

4. Choose the lowest power of each common prime factor:

   • For 2: 2¹
   • For 3: 3¹
   • For 5: 5¹

5. Multiply the lowest powers of the common factors:

   • GCF = 2¹ × 3¹ × 5¹ = 2 × 3 × 5 = 30

Thus, the GCF of 90 and 150 is 30.