GCF (HCF) of 63 and 42
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What is the Greatest Common Divisor of 63 and 42?
Answer
GCF (HCF) of 63 and 42 is
21
Common factors: 1, 3, 7, 21
21 divides both: 63 ÷ 21 = 3, 42 ÷ 21 = 2 — and 3 and 2 share no factor but 1, so no larger number divides both.
63 = 32 × 7
42 = 2 × 3 × 7
| Prime | 63 | 42 | Lowest power |
|---|---|---|---|
| 2 | — | 2 | — |
| 3 | 32 | 3 | 3 |
| 7 | 7 | 7 | 7 |
— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.
GCF = 3 × 7 = 21
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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 |
|---|---|---|
| 63 | 27 | 9 |
| 63 | 28 | 7 |
| 63 | 29 | 1 |
| 63 | 30 | 3 |
| 63 | 31 | 1 |
| 63 | 32 | 1 |
| 63 | 33 | 3 |
| 63 | 34 | 1 |
| 63 | 35 | 7 |
| 63 | 36 | 9 |
| 63 | 37 | 1 |
| 63 | 38 | 1 |
| 63 | 39 | 3 |
| 63 | 40 | 1 |
| 63 | 41 | 1 |
| 63 | 42 | 21 |
| 63 | 43 | 1 |
| 63 | 44 | 1 |
| 63 | 45 | 9 |
| 63 | 46 | 1 |
| 63 | 47 | 1 |
| 63 | 48 | 3 |
| 63 | 49 | 7 |
| 63 | 50 | 1 |
| 63 | 51 | 3 |
| 63 | 52 | 1 |
| 63 | 53 | 1 |
| 63 | 54 | 9 |
| 63 | 55 | 1 |
| 63 | 56 | 7 |