GCF (HCF) of 65 and 75
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What is the Greatest Common Divisor of 65 and 75?
Answer
GCF (HCF) of 65 and 75 is
5
Common factors: 1, 5
5 divides both: 65 ÷ 5 = 13, 75 ÷ 5 = 15 — and 13 and 15 share no factor but 1, so no larger number divides both.
65 = 5 × 13
75 = 3 × 52
| Prime | 65 | 75 | Lowest power |
|---|---|---|---|
| 3 | — | 3 | — |
| 5 | 5 | 52 | 5 |
| 13 | 13 | — | — |
— = 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 |
|---|---|---|
| 65 | 60 | 5 |
| 65 | 61 | 1 |
| 65 | 62 | 1 |
| 65 | 63 | 1 |
| 65 | 64 | 1 |
| 65 | 65 | 65 |
| 65 | 66 | 1 |
| 65 | 67 | 1 |
| 65 | 68 | 1 |
| 65 | 69 | 1 |
| 65 | 70 | 5 |
| 65 | 71 | 1 |
| 65 | 72 | 1 |
| 65 | 73 | 1 |
| 65 | 74 | 1 |
| 65 | 75 | 5 |
| 65 | 76 | 1 |
| 65 | 77 | 1 |
| 65 | 78 | 13 |
| 65 | 79 | 1 |
| 65 | 80 | 5 |
| 65 | 81 | 1 |
| 65 | 82 | 1 |
| 65 | 83 | 1 |
| 65 | 84 | 1 |
| 65 | 85 | 5 |
| 65 | 86 | 1 |
| 65 | 87 | 1 |
| 65 | 88 | 1 |
| 65 | 89 | 1 |