GCF (HCF) of 12 and 80
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What is the Greatest Common Divisor of 12 and 80?
Answer
GCF (HCF) of 12 and 80 is
4
Common factors: 1, 2, 4
4 divides both: 12 ÷ 4 = 3, 80 ÷ 4 = 20 — and 3 and 20 share no factor but 1, so no larger number divides both.
12 = 22 × 3
80 = 24 × 5
| Prime | 12 | 80 | Lowest power |
|---|---|---|---|
| 2 | 22 | 24 | 22 |
| 3 | 3 | — | — |
| 5 | — | 5 | — |
— = 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 12 and 80?
GCF (HCF) of 12 and 80 is 4
How to find the GCF of 12 and 80?
You can find the GCF of 12 and 80 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 12 and 80 is 4.
What prime factors do 12 and 80 share?
The prime factorizations of 12 and 80 have 2 × 2 in common, and multiplying those shared primes gives 4 — exactly the greatest common factor.
How does the GCF reduce the fraction 12/80?
Divide the numerator and the denominator by the GCF 4: 12 ÷ 4 = 3 and 80 ÷ 4 = 20. So 12/80 in lowest terms is 3/20.
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