GCF (HCF) of 8 and 45
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What is the Greatest Common Divisor of 8 and 45?
Answer
GCF (HCF) of 8 and 45 is
1
Common factors: 1
Only 1 divides both: 8 and 45 share no prime factor.
Such numbers are called coprime (relatively prime); their LCM is just the product: 8 × 45 = 360.
8 = 23
45 = 32 × 5
| Prime | 8 | 45 | Lowest power |
|---|---|---|---|
| 2 | 23 | — | — |
| 3 | — | 32 | — |
| 5 | — | 5 | — |
— = 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 8 and 45?
GCF (HCF) of 8 and 45 is 1
How to find the GCF of 8 and 45?
You can find the GCF of 8 and 45 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 8 and 45 is 1.
What prime factors do 8 and 45 share?
8 and 45 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 8/45?
Divide the numerator and the denominator by the GCF 1: 8 ÷ 1 = 8 and 45 ÷ 1 = 45. So 8/45 in lowest terms is 8/45.
Are 8 and 45 coprime?
Yes, 8 and 45 are coprime (relatively prime) because their Greatest Common Factor is 1.
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