GCF (HCF) of 6 and 39
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What is the Greatest Common Divisor of 6 and 39?
Answer
GCF (HCF) of 6 and 39 is
3
Common factors: 1, 3
3 divides both: 6 ÷ 3 = 2, 39 ÷ 3 = 13 — and 2 and 13 share no factor but 1, so no larger number divides both.
6 = 2 × 3
39 = 3 × 13
| Prime | 6 | 39 | Lowest power |
|---|---|---|---|
| 2 | 2 | — | — |
| 3 | 3 | 3 | 3 |
| 13 | — | 13 | — |
— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.
GCF = 3
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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 39?
GCF (HCF) of 6 and 39 is 3
How to find the GCF of 6 and 39?
You can find the GCF of 6 and 39 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 6 and 39 is 3.
What prime factors do 6 and 39 share?
The prime factorizations of 6 and 39 have 3 in common, and multiplying those shared primes gives 3 — exactly the greatest common factor.
How does the GCF reduce the fraction 6/39?
Divide the numerator and the denominator by the GCF 3: 6 ÷ 3 = 2 and 39 ÷ 3 = 13. So 6/39 in lowest terms is 2/13.
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