GCF (HCF) of 4 and 40
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What is the Greatest Common Divisor of 4 and 40?
Answer
GCF (HCF) of 4 and 40 is
4
Common factors: 1, 2, 4
4 divides 40 (40 ÷ 4 = 10), so the GCF is the smaller number itself.
4 = 22
40 = 23 × 5
| Prime | 4 | 40 | Lowest power |
|---|---|---|---|
| 2 | 22 | 23 | 22 |
| 5 | — | 5 | — |
— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.
GCF = 22 = 4
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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 4 and 40?
GCF (HCF) of 4 and 40 is 4
How to find the GCF of 4 and 40?
You can find the GCF of 4 and 40 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 4 and 40 is 4.
What prime factors do 4 and 40 share?
The prime factorizations of 4 and 40 have 2 × 2 in common, and multiplying those shared primes gives 4 — exactly the greatest common factor.
How does the GCF reduce the fraction 4/40?
Divide the numerator and the denominator by the GCF 4: 4 ÷ 4 = 1 and 40 ÷ 4 = 10. So 4/40 in lowest terms is 1/10.
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