GCF (HCF) of 80 and 200
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What is the Greatest Common Divisor of 80 and 200?
Answer
GCF (HCF) of 80 and 200 is
40
Common factors: 1, 2, 4, 5, 8, 10, 20, 40
40 divides both: 80 ÷ 40 = 2, 200 ÷ 40 = 5 — and 2 and 5 share no factor but 1, so no larger number divides both.
80 = 24 × 5
200 = 23 × 52
| Prime | 80 | 200 | Lowest power |
|---|---|---|---|
| 2 | 24 | 23 | 23 |
| 5 | 5 | 52 | 5 |
GCF = 23 × 5 = 40
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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
GCF Table
FAQ
What is the Greatest Common Divisor of 80 and 200?
GCF (HCF) of 80 and 200 is 40
How to find the GCF of 80 and 200?
You can find the GCF of 80 and 200 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 80 and 200 is 40.
What prime factors do 80 and 200 share?
The prime factorizations of 80 and 200 have 2 × 2 × 2 × 5 in common, and multiplying those shared primes gives 40 — exactly the greatest common factor.
How does the GCF reduce the fraction 80/200?
Divide the numerator and the denominator by the GCF 40: 80 ÷ 40 = 2 and 200 ÷ 40 = 5. So 80/200 in lowest terms is 2/5.
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