GCF (HCF) of 6 and 26
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What is the Greatest Common Divisor of 6 and 26?
Answer
GCF (HCF) of 6 and 26 is
2
Common factors: 1, 2
2 divides both: 6 ÷ 2 = 3, 26 ÷ 2 = 13 — and 3 and 13 share no factor but 1, so no larger number divides both.
6 = 2 × 3
26 = 2 × 13
| Prime | 6 | 26 | Lowest power |
|---|---|---|---|
| 2 | 2 | 2 | 2 |
| 3 | 3 | — | — |
| 13 | — | 13 | — |
— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.
GCF = 2
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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 26?
GCF (HCF) of 6 and 26 is 2
How to find the GCF of 6 and 26?
You can find the GCF of 6 and 26 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 6 and 26 is 2.
What prime factors do 6 and 26 share?
The prime factorizations of 6 and 26 have 2 in common, and multiplying those shared primes gives 2 — exactly the greatest common factor.
How does the GCF reduce the fraction 6/26?
Divide the numerator and the denominator by the GCF 2: 6 ÷ 2 = 3 and 26 ÷ 2 = 13. So 6/26 in lowest terms is 3/13.
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