GCF (HCF) of 17 and 43
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What is the Greatest Common Divisor of 17 and 43?
Answer
GCF (HCF) of 17 and 43 is
1
Common factors: 1
Only 1 divides both: 17 and 43 share no prime factor.
Such numbers are called coprime (relatively prime); their LCM is just the product: 17 × 43 = 731.
17 — prime
43 — prime
| Prime | 17 | 43 | Lowest power |
|---|---|---|---|
| 17 | 17 | — | — |
| 43 | — | 43 | — |
— = 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 43?
GCF (HCF) of 17 and 43 is 1
How to find the GCF of 17 and 43?
You can find the GCF of 17 and 43 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 17 and 43 is 1.
What prime factors do 17 and 43 share?
17 and 43 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 17/43?
Divide the numerator and the denominator by the GCF 1: 17 ÷ 1 = 17 and 43 ÷ 1 = 43. So 17/43 in lowest terms is 17/43.
Are 17 and 43 coprime?
Yes, 17 and 43 are coprime (relatively prime) because their Greatest Common Factor is 1.
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