GCF (HCF) of 6 and 24
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What is the Greatest Common Divisor of 6 and 24?
Answer
GCF (HCF) of 6 and 24 is
6
Common factors: 1, 2, 3, 6
6 divides 24 (24 ÷ 6 = 4), so the GCF is the smaller number itself.
6 = 2 × 3
24 = 23 × 3
| Prime | 6 | 24 | Lowest power |
|---|---|---|---|
| 2 | 2 | 23 | 2 |
| 3 | 3 | 3 | 3 |
GCF = 2 × 3 = 6
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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 6 and 24?
GCF (HCF) of 6 and 24 is 6
How to find the GCF of 6 and 24?
You can find the GCF of 6 and 24 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 6 and 24 is 6.
What prime factors do 6 and 24 share?
The prime factorizations of 6 and 24 have 2 × 3 in common, and multiplying those shared primes gives 6 — exactly the greatest common factor.
How does the GCF reduce the fraction 6/24?
Divide the numerator and the denominator by the GCF 6: 6 ÷ 6 = 1 and 24 ÷ 6 = 4. So 6/24 in lowest terms is 1/4.
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