The greatest common factor (GCF) of 250 and 150 is 50.
To find the GCF, we start by determining the prime factorizations of both numbers:
- 250 can be factored into 2 × 5 × 5 × 5, or 2 × 5³.
- 150 can be factored into 2 × 3 × 5 × 5, or 2 × 3 × 5².
Next, we identify the common prime factors. Both numbers share the factor of 2 and the factor of 5.
- The minimum power of 2 that appears in both factorizations is 2¹ (which is 2).
- The minimum power of 5 that appears is 5² (which is 25).
Now, we multiply these common factors together to find the GCF:
2¹ × 5² = 2 × 25 = 50.
Therefore, the greatest common factor of 250 and 150 is 50.