GCF for 35, 56 and 63
"Greatest Common Factor of 3 Numbers" Calculator
What's the Greatest Common Factor (GCF) of 35, 56 and 63?
Answer
GCF of 35, 56 and 63 is
7
Common factors: 1, 7
7 divides all three: 35 ÷ 7 = 5, 56 ÷ 7 = 8, 63 ÷ 7 = 9 — and 5, 8 and 9 have no factor but 1 common to all of them, so no larger number divides all three.
35 = 5 × 7
56 = 23 × 7
63 = 32 × 7
| Prime | 35 | 56 | 63 | Lowest power |
|---|---|---|---|---|
| 2 | — | 23 | — | — |
| 3 | — | — | 32 | — |
| 5 | 5 | — | — | — |
| 7 | 7 | 7 | 7 | 7 |
— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.
GCF = 7
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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 |
|---|---|---|---|
| 35 | 48 | 56 | 1 |
| 35 | 49 | 56 | 7 |
| 35 | 50 | 56 | 1 |
| 35 | 51 | 56 | 1 |
| 35 | 52 | 56 | 1 |
| 35 | 53 | 56 | 1 |
| 35 | 54 | 56 | 1 |
| 35 | 55 | 56 | 1 |
| 35 | 56 | 56 | 7 |
| 35 | 56 | 57 | 1 |
| 35 | 56 | 58 | 1 |
| 35 | 56 | 59 | 1 |
| 35 | 56 | 60 | 1 |
| 35 | 56 | 61 | 1 |
| 35 | 56 | 62 | 1 |
| 35 | 56 | 63 | 7 |
| 35 | 56 | 64 | 1 |
| 35 | 56 | 65 | 1 |
| 35 | 56 | 66 | 1 |
| 35 | 56 | 67 | 1 |
| 35 | 56 | 68 | 1 |
| 35 | 56 | 69 | 1 |
| 35 | 56 | 70 | 7 |
| 35 | 56 | 71 | 1 |
| 35 | 56 | 72 | 1 |
| 35 | 56 | 73 | 1 |
| 35 | 56 | 74 | 1 |
| 35 | 56 | 75 | 1 |
| 35 | 56 | 76 | 1 |
| 35 | 56 | 77 | 7 |