GCF (HCF) of 120 and 68
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What is the Greatest Common Divisor of 120 and 68?
Answer
GCF (HCF) of 120 and 68 is
4
Common factors: 1, 2, 4
4 divides both: 120 ÷ 4 = 30, 68 ÷ 4 = 17 — and 30 and 17 share no factor but 1, so no larger number divides both.
120 = 23 × 3 × 5
68 = 22 × 17
| Prime | 120 | 68 | Lowest power |
|---|---|---|---|
| 2 | 23 | 22 | 22 |
| 3 | 3 | — | — |
| 5 | 5 | — | — |
| 17 | — | 17 | — |
— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.
GCF = 22 = 4
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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 |
|---|---|---|
| 120 | 53 | 1 |
| 120 | 54 | 6 |
| 120 | 55 | 5 |
| 120 | 56 | 8 |
| 120 | 57 | 3 |
| 120 | 58 | 2 |
| 120 | 59 | 1 |
| 120 | 60 | 60 |
| 120 | 61 | 1 |
| 120 | 62 | 2 |
| 120 | 63 | 3 |
| 120 | 64 | 8 |
| 120 | 65 | 5 |
| 120 | 66 | 6 |
| 120 | 67 | 1 |
| 120 | 68 | 4 |
| 120 | 69 | 3 |
| 120 | 70 | 10 |
| 120 | 71 | 1 |
| 120 | 72 | 24 |
| 120 | 73 | 1 |
| 120 | 74 | 2 |
| 120 | 75 | 15 |
| 120 | 76 | 4 |
| 120 | 77 | 1 |
| 120 | 78 | 6 |
| 120 | 79 | 1 |
| 120 | 80 | 40 |
| 120 | 81 | 3 |
| 120 | 82 | 2 |