GCF (HCF) of 17 and 18
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What is the Greatest Common Divisor of 17 and 18?
Answer
GCF (HCF) of 17 and 18 is
1
Common factors: 1
Only 1 divides both: 17 and 18 share no prime factor.
Such numbers are called coprime (relatively prime); their LCM is just the product: 17 × 18 = 306.
17 — prime
18 = 2 × 32
| Prime | 17 | 18 | Lowest power |
|---|---|---|---|
| 2 | — | 2 | — |
| 3 | — | 32 | — |
| 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 17 and 18?
GCF (HCF) of 17 and 18 is 1
How to find the GCF of 17 and 18?
You can find the GCF of 17 and 18 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 17 and 18 is 1.
What prime factors do 17 and 18 share?
17 and 18 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 17/18?
Divide the numerator and the denominator by the GCF 1: 17 ÷ 1 = 17 and 18 ÷ 1 = 18. So 17/18 in lowest terms is 17/18.
Are 17 and 18 coprime?
Yes, 17 and 18 are coprime (relatively prime) because their Greatest Common Factor is 1.
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