GCF (HCF) of 6 and 17
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What is the Greatest Common Divisor of 6 and 17?
Answer
GCF (HCF) of 6 and 17 is
1
Common factors: 1
Only 1 divides both: 6 and 17 share no prime factor.
Such numbers are called coprime (relatively prime); their LCM is just the product: 6 × 17 = 102.
6 = 2 × 3
17 — prime
| Prime | 6 | 17 | Lowest power |
|---|---|---|---|
| 2 | 2 | — | — |
| 3 | 3 | — | — |
| 17 | — | 17 | — |
— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.
GCF = 1
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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
GCF Table
FAQ
What is the Greatest Common Divisor of 6 and 17?
GCF (HCF) of 6 and 17 is 1
How to find the GCF of 6 and 17?
You can find the GCF of 6 and 17 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 6 and 17 is 1.
What prime factors do 6 and 17 share?
6 and 17 have no prime factor in common, so the only integer that divides both of them is 1 and their GCF is 1.
How does the GCF reduce the fraction 6/17?
Divide the numerator and the denominator by the GCF 1: 6 ÷ 1 = 6 and 17 ÷ 1 = 17. So 6/17 in lowest terms is 6/17.
Are 6 and 17 coprime?
Yes, 6 and 17 are coprime (relatively prime) because their Greatest Common Factor is 1.
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