GCF (HCF) of 2 and 34
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What is the Greatest Common Divisor of 2 and 34?
Answer
GCF (HCF) of 2 and 34 is
2
Common factors: 1, 2
2 divides 34 (34 ÷ 2 = 17), so the GCF is the smaller number itself.
2 — prime
34 = 2 × 17
| Prime | 2 | 34 | Lowest power |
|---|---|---|---|
| 2 | 2 | 2 | 2 |
| 17 | — | 17 | — |
— = 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 2 and 34?
GCF (HCF) of 2 and 34 is 2
How to find the GCF of 2 and 34?
You can find the GCF of 2 and 34 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 2 and 34 is 2.
What prime factors do 2 and 34 share?
The prime factorizations of 2 and 34 have 2 in common, and multiplying those shared primes gives 2 — exactly the greatest common factor.
How does the GCF reduce the fraction 2/34?
Divide the numerator and the denominator by the GCF 2: 2 ÷ 2 = 1 and 34 ÷ 2 = 17. So 2/34 in lowest terms is 1/17.
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