GCF for 45, 120 and 525
"Greatest Common Factor of 3 Numbers" Calculator
What's the Greatest Common Factor (GCF) of 45, 120 and 525?
Answer
GCF of 45, 120 and 525 is
15
Common factors: 1, 3, 5, 15
15 divides all three: 45 ÷ 15 = 3, 120 ÷ 15 = 8, 525 ÷ 15 = 35 — and 3, 8 and 35 have no factor but 1 common to all of them, so no larger number divides all three.
45 = 32 × 5
120 = 23 × 3 × 5
525 = 3 × 52 × 7
| Prime | 45 | 120 | 525 | Lowest power |
|---|---|---|---|---|
| 2 | — | 23 | — | — |
| 3 | 32 | 3 | 3 | 3 |
| 5 | 5 | 5 | 52 | 5 |
| 7 | — | — | 7 | — |
— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.
GCF = 3 × 5 = 15
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See Also
- Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
- Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
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GCF Table
| 1st | 2nd | 3rd | GCF |
|---|---|---|---|
| 45 | 120 | 510 | 15 |
| 45 | 120 | 511 | 1 |
| 45 | 120 | 512 | 1 |
| 45 | 120 | 513 | 3 |
| 45 | 120 | 514 | 1 |
| 45 | 120 | 515 | 5 |
| 45 | 120 | 516 | 3 |
| 45 | 120 | 517 | 1 |
| 45 | 120 | 518 | 1 |
| 45 | 120 | 519 | 3 |
| 45 | 120 | 520 | 5 |
| 45 | 120 | 521 | 1 |
| 45 | 120 | 522 | 3 |
| 45 | 120 | 523 | 1 |
| 45 | 120 | 524 | 1 |
| 45 | 120 | 525 | 15 |
| 45 | 120 | 526 | 1 |
| 45 | 120 | 527 | 1 |
| 45 | 120 | 528 | 3 |
| 45 | 120 | 529 | 1 |
| 45 | 120 | 530 | 5 |
| 45 | 120 | 531 | 3 |
| 45 | 120 | 532 | 1 |
| 45 | 120 | 533 | 1 |
| 45 | 120 | 534 | 3 |
| 45 | 120 | 535 | 5 |
| 45 | 120 | 536 | 1 |
| 45 | 120 | 537 | 3 |
| 45 | 120 | 538 | 1 |
| 45 | 120 | 539 | 1 |