GCF (HCF) of 80 and 84
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What is the Greatest Common Divisor of 80 and 84?
Answer
GCF (HCF) of 80 and 84 is
4
Common factors: 1, 2, 4
4 divides both: 80 ÷ 4 = 20, 84 ÷ 4 = 21 — and 20 and 21 share no factor but 1, so no larger number divides both.
80 = 24 × 5
84 = 22 × 3 × 7
| Prime | 80 | 84 | Lowest power |
|---|---|---|---|
| 2 | 24 | 22 | 22 |
| 3 | — | 3 | — |
| 5 | 5 | — | — |
| 7 | — | 7 | — |
— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.
GCF = 22 = 4
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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 84?
GCF (HCF) of 80 and 84 is 4
How to find the GCF of 80 and 84?
You can find the GCF of 80 and 84 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 80 and 84 is 4.
What prime factors do 80 and 84 share?
The prime factorizations of 80 and 84 have 2 × 2 in common, and multiplying those shared primes gives 4 — exactly the greatest common factor.
How does the GCF reduce the fraction 80/84?
Divide the numerator and the denominator by the GCF 4: 80 ÷ 4 = 20 and 84 ÷ 4 = 21. So 80/84 in lowest terms is 20/21.
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