GCF (HCF) of 80 and 225
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What is the Greatest Common Divisor of 80 and 225?
Answer
GCF (HCF) of 80 and 225 is
5
Common factors: 1, 5
5 divides both: 80 ÷ 5 = 16, 225 ÷ 5 = 45 — and 16 and 45 share no factor but 1, so no larger number divides both.
80 = 24 × 5
225 = 32 × 52
| Prime | 80 | 225 | Lowest power |
|---|---|---|---|
| 2 | 24 | — | — |
| 3 | — | 32 | — |
| 5 | 5 | 52 | 5 |
— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.
GCF = 5
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- 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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FAQ
What is the Greatest Common Divisor of 80 and 225?
GCF (HCF) of 80 and 225 is 5
How to find the GCF of 80 and 225?
You can find the GCF of 80 and 225 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 80 and 225 is 5.
What prime factors do 80 and 225 share?
The prime factorizations of 80 and 225 have 5 in common, and multiplying those shared primes gives 5 — exactly the greatest common factor.
How does the GCF reduce the fraction 80/225?
Divide the numerator and the denominator by the GCF 5: 80 ÷ 5 = 16 and 225 ÷ 5 = 45. So 80/225 in lowest terms is 16/45.
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