GCF (HCF) of 10 and 40
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What is the Greatest Common Divisor of 10 and 40?
Answer
GCF (HCF) of 10 and 40 is
10
Common factors: 1, 2, 5, 10
10 divides 40 (40 ÷ 10 = 4), so the GCF is the smaller number itself.
10 = 2 × 5
40 = 23 × 5
| Prime | 10 | 40 | Lowest power |
|---|---|---|---|
| 2 | 2 | 23 | 2 |
| 5 | 5 | 5 | 5 |
GCF = 2 × 5 = 10
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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 10 and 40?
GCF (HCF) of 10 and 40 is 10
How to find the GCF of 10 and 40?
You can find the GCF of 10 and 40 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 10 and 40 is 10.
What prime factors do 10 and 40 share?
The prime factorizations of 10 and 40 have 2 × 5 in common, and multiplying those shared primes gives 10 — exactly the greatest common factor.
How does the GCF reduce the fraction 10/40?
Divide the numerator and the denominator by the GCF 10: 10 ÷ 10 = 1 and 40 ÷ 10 = 4. So 10/40 in lowest terms is 1/4.
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