GCF (HCF) of 51 and 119
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What is the Greatest Common Divisor of 51 and 119?
Answer
GCF (HCF) of 51 and 119 is
17
Common factors: 1, 17
17 divides both: 51 ÷ 17 = 3, 119 ÷ 17 = 7 — and 3 and 7 share no factor but 1, so no larger number divides both.
51 = 3 × 17
119 = 7 × 17
| Prime | 51 | 119 | Lowest power |
|---|---|---|---|
| 3 | 3 | — | — |
| 7 | — | 7 | — |
| 17 | 17 | 17 | 17 |
— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.
GCF = 17
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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 |
|---|---|---|
| 51 | 104 | 1 |
| 51 | 105 | 3 |
| 51 | 106 | 1 |
| 51 | 107 | 1 |
| 51 | 108 | 3 |
| 51 | 109 | 1 |
| 51 | 110 | 1 |
| 51 | 111 | 3 |
| 51 | 112 | 1 |
| 51 | 113 | 1 |
| 51 | 114 | 3 |
| 51 | 115 | 1 |
| 51 | 116 | 1 |
| 51 | 117 | 3 |
| 51 | 118 | 1 |
| 51 | 119 | 17 |
| 51 | 120 | 3 |
| 51 | 121 | 1 |
| 51 | 122 | 1 |
| 51 | 123 | 3 |
| 51 | 124 | 1 |
| 51 | 125 | 1 |
| 51 | 126 | 3 |
| 51 | 127 | 1 |
| 51 | 128 | 1 |
| 51 | 129 | 3 |
| 51 | 130 | 1 |
| 51 | 131 | 1 |
| 51 | 132 | 3 |
| 51 | 133 | 1 |