GCF of 1125 and 1500 (Greatest Common Factor)
What is the Greatest Common Divisor of 1125 and 1500?
Answer
(Three hundred seventy-five)
Finding GCF for 1125 and 1500 using all factors (divisors) listing
The first method to find GCF for numbers 1125 and 1500 is to list all factors for both numbers and pick the highest common one:
All factors of 1125: 1, 3, 5, 9, 15, 25, 45, 75, 125, 225, 375, 1125
All factors of 1500: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 125, 150, 250, 300, 375, 500, 750, 1500
So the Greatest Common Factor for 1125 and 1500 is 375
Finding GCF for 1125 and 1500 by Prime Factorization
The second method to find GCF for numbers 1125 and 1500 is to list all Prime Factors for both numbers and multiply the common ones:
All Prime Factors of 1125: 3, 3, 5, 5, 5
All Prime Factors of 1500: 2, 2, 3, 5, 5, 5
As we can see there are Prime Factors common to both numbers: 3, 5, 5, 5
Now we need to multiply them to find GCF: 3 × 5 × 5 × 5 = 375
Related Calculations
See Also
- Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
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GCF Table
| Number 1 | Number 2 | GCF |
|---|---|---|
| 1125 | 1485 | 45 |
| 1125 | 1486 | 1 |
| 1125 | 1487 | 1 |
| 1125 | 1488 | 3 |
| 1125 | 1489 | 1 |
| 1125 | 1490 | 5 |
| 1125 | 1491 | 3 |
| 1125 | 1492 | 1 |
| 1125 | 1493 | 1 |
| 1125 | 1494 | 9 |
| 1125 | 1495 | 5 |
| 1125 | 1496 | 1 |
| 1125 | 1497 | 3 |
| 1125 | 1498 | 1 |
| 1125 | 1499 | 1 |
| 1125 | 1500 | 375 |
| 1125 | 1501 | 1 |
| 1125 | 1502 | 1 |
| 1125 | 1503 | 9 |
| 1125 | 1504 | 1 |
| 1125 | 1505 | 5 |
| 1125 | 1506 | 3 |
| 1125 | 1507 | 1 |
| 1125 | 1508 | 1 |
| 1125 | 1509 | 3 |
| 1125 | 1510 | 5 |
| 1125 | 1511 | 1 |
| 1125 | 1512 | 9 |
| 1125 | 1513 | 1 |
| 1125 | 1514 | 1 |
About "Greatest Common Factor" Calculator
Greatest Common Factor (GCF) also known as the Greatest Common Divisor (GCD) or Highest Common Factor (HCF) - it is the largest positive integer that divides each of the integers with zero remainder.