GCF (HCF) of 95 and 105
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What is the Greatest Common Divisor of 95 and 105?
Answer
GCF (HCF) of 95 and 105 is
5
Common factors: 1, 5
5 divides both: 95 ÷ 5 = 19, 105 ÷ 5 = 21 — and 19 and 21 share no factor but 1, so no larger number divides both.
95 = 5 × 19
105 = 3 × 5 × 7
| Prime | 95 | 105 | Lowest power |
|---|---|---|---|
| 3 | — | 3 | — |
| 5 | 5 | 5 | 5 |
| 7 | — | 7 | — |
| 19 | 19 | — | — |
— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.
GCF = 5
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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 |
|---|---|---|
| 95 | 90 | 5 |
| 95 | 91 | 1 |
| 95 | 92 | 1 |
| 95 | 93 | 1 |
| 95 | 94 | 1 |
| 95 | 95 | 95 |
| 95 | 96 | 1 |
| 95 | 97 | 1 |
| 95 | 98 | 1 |
| 95 | 99 | 1 |
| 95 | 100 | 5 |
| 95 | 101 | 1 |
| 95 | 102 | 1 |
| 95 | 103 | 1 |
| 95 | 104 | 1 |
| 95 | 105 | 5 |
| 95 | 106 | 1 |
| 95 | 107 | 1 |
| 95 | 108 | 1 |
| 95 | 109 | 1 |
| 95 | 110 | 5 |
| 95 | 111 | 1 |
| 95 | 112 | 1 |
| 95 | 113 | 1 |
| 95 | 114 | 19 |
| 95 | 115 | 5 |
| 95 | 116 | 1 |
| 95 | 117 | 1 |
| 95 | 118 | 1 |
| 95 | 119 | 1 |