GCF (HCF) of 52 and 6
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What is the Greatest Common Divisor of 52 and 6?
Answer
GCF (HCF) of 52 and 6 is
2
Common factors: 1, 2
2 divides both: 52 ÷ 2 = 26, 6 ÷ 2 = 3 — and 26 and 3 share no factor but 1, so no larger number divides both.
52 = 22 × 13
6 = 2 × 3
| Prime | 52 | 6 | Lowest power |
|---|---|---|---|
| 2 | 22 | 2 | 2 |
| 3 | — | 3 | — |
| 13 | 13 | — | — |
— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.
GCF = 2
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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 |
|---|---|---|
| 52 | 1 | 1 |
| 52 | 2 | 2 |
| 52 | 3 | 1 |
| 52 | 4 | 4 |
| 52 | 5 | 1 |
| 52 | 6 | 2 |
| 52 | 7 | 1 |
| 52 | 8 | 4 |
| 52 | 9 | 1 |
| 52 | 10 | 2 |
| 52 | 11 | 1 |
| 52 | 12 | 4 |
| 52 | 13 | 13 |
| 52 | 14 | 2 |
| 52 | 15 | 1 |
| 52 | 16 | 4 |
| 52 | 17 | 1 |
| 52 | 18 | 2 |
| 52 | 19 | 1 |
| 52 | 20 | 4 |
| 52 | 21 | 1 |
| 52 | 22 | 2 |
| 52 | 23 | 1 |
| 52 | 24 | 4 |
| 52 | 25 | 1 |
| 52 | 26 | 26 |
| 52 | 27 | 1 |
| 52 | 28 | 4 |
| 52 | 29 | 1 |
| 52 | 30 | 2 |