GCF (HCF) of 66 and 84
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What is the Greatest Common Divisor of 66 and 84?
Answer
GCF (HCF) of 66 and 84 is
6
Common factors: 1, 2, 3, 6
6 divides both: 66 ÷ 6 = 11, 84 ÷ 6 = 14 — and 11 and 14 share no factor but 1, so no larger number divides both.
66 = 2 × 3 × 11
84 = 22 × 3 × 7
| Prime | 66 | 84 | Lowest power |
|---|---|---|---|
| 2 | 2 | 22 | 2 |
| 3 | 3 | 3 | 3 |
| 7 | — | 7 | — |
| 11 | 11 | — | — |
— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.
GCF = 2 × 3 = 6
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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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