GCF (HCF) of 51 and 102
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What is the Greatest Common Divisor of 51 and 102?
Answer
GCF (HCF) of 51 and 102 is
51
Common factors: 1, 3, 17, 51
51 divides 102 (102 ÷ 51 = 2), so the GCF is the smaller number itself.
51 = 3 × 17
102 = 2 × 3 × 17
| Prime | 51 | 102 | Lowest power |
|---|---|---|---|
| 2 | — | 2 | — |
| 3 | 3 | 3 | 3 |
| 17 | 17 | 17 | 17 |
— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.
GCF = 3 × 17 = 51
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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 | 87 | 3 |
| 51 | 88 | 1 |
| 51 | 89 | 1 |
| 51 | 90 | 3 |
| 51 | 91 | 1 |
| 51 | 92 | 1 |
| 51 | 93 | 3 |
| 51 | 94 | 1 |
| 51 | 95 | 1 |
| 51 | 96 | 3 |
| 51 | 97 | 1 |
| 51 | 98 | 1 |
| 51 | 99 | 3 |
| 51 | 100 | 1 |
| 51 | 101 | 1 |
| 51 | 102 | 51 |
| 51 | 103 | 1 |
| 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 |