GCF (HCF) of 31 and 38
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What is the Greatest Common Divisor of 31 and 38?
Answer
GCF (HCF) of 31 and 38 is
1
Common factors: 1
Only 1 divides both: 31 and 38 share no prime factor.
Such numbers are called coprime (relatively prime); their LCM is just the product: 31 × 38 = 1,178.
31 — prime
38 = 2 × 19
| Prime | 31 | 38 | Lowest power |
|---|---|---|---|
| 2 | — | 2 | — |
| 19 | — | 19 | — |
| 31 | 31 | — | — |
— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.
GCF = 1
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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 31 and 38?
GCF (HCF) of 31 and 38 is 1
How to find the GCF of 31 and 38?
You can find the GCF of 31 and 38 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 31 and 38 is 1.
What prime factors do 31 and 38 share?
31 and 38 have no prime factor in common, so the only integer that divides both of them is 1 and their GCF is 1.
How does the GCF reduce the fraction 31/38?
Divide the numerator and the denominator by the GCF 1: 31 ÷ 1 = 31 and 38 ÷ 1 = 38. So 31/38 in lowest terms is 31/38.
Are 31 and 38 coprime?
Yes, 31 and 38 are coprime (relatively prime) because their Greatest Common Factor is 1.
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