GCF (HCF) of 72 and 63
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What is the Greatest Common Divisor of 72 and 63?
Answer
GCF (HCF) of 72 and 63 is
9
Common factors: 1, 3, 9
9 divides both: 72 ÷ 9 = 8, 63 ÷ 9 = 7 — and 8 and 7 share no factor but 1, so no larger number divides both.
72 = 23 × 32
63 = 32 × 7
| Prime | 72 | 63 | Lowest power |
|---|---|---|---|
| 2 | 23 | — | — |
| 3 | 32 | 32 | 32 |
| 7 | — | 7 | — |
— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.
GCF = 32 = 9
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See Also
- Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
- Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers
- Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers
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GCF Table
| Number 1 | Number 2 | GCF |
|---|---|---|
| 72 | 48 | 24 |
| 72 | 49 | 1 |
| 72 | 50 | 2 |
| 72 | 51 | 3 |
| 72 | 52 | 4 |
| 72 | 53 | 1 |
| 72 | 54 | 18 |
| 72 | 55 | 1 |
| 72 | 56 | 8 |
| 72 | 57 | 3 |
| 72 | 58 | 2 |
| 72 | 59 | 1 |
| 72 | 60 | 12 |
| 72 | 61 | 1 |
| 72 | 62 | 2 |
| 72 | 63 | 9 |
| 72 | 64 | 8 |
| 72 | 65 | 1 |
| 72 | 66 | 6 |
| 72 | 67 | 1 |
| 72 | 68 | 4 |
| 72 | 69 | 3 |
| 72 | 70 | 2 |
| 72 | 71 | 1 |
| 72 | 72 | 72 |
| 72 | 73 | 1 |
| 72 | 74 | 2 |
| 72 | 75 | 3 |
| 72 | 76 | 4 |
| 72 | 77 | 1 |