GCF for 16, 24 and 40
"Greatest Common Factor of 3 Numbers" Calculator
What's the Greatest Common Factor (GCF) of 16, 24 and 40?
Answer
GCF of 16, 24 and 40 is
8
Common factors: 1, 2, 4, 8
8 divides all three: 16 ÷ 8 = 2, 24 ÷ 8 = 3, 40 ÷ 8 = 5 — and 2, 3 and 5 have no factor but 1 common to all of them, so no larger number divides all three.
16 = 24
24 = 23 × 3
40 = 23 × 5
| Prime | 16 | 24 | 40 | Lowest power |
|---|---|---|---|---|
| 2 | 24 | 23 | 23 | 23 |
| 3 | — | 3 | — | — |
| 5 | — | — | 5 | — |
— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.
GCF = 23 = 8
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See Also
- Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
- Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
GCF Table
| 1st | 2nd | 3rd | GCF |
|---|---|---|---|
| 16 | 24 | 25 | 1 |
| 16 | 24 | 26 | 2 |
| 16 | 24 | 27 | 1 |
| 16 | 24 | 28 | 4 |
| 16 | 24 | 29 | 1 |
| 16 | 24 | 30 | 2 |
| 16 | 24 | 31 | 1 |
| 16 | 24 | 32 | 8 |
| 16 | 24 | 33 | 1 |
| 16 | 24 | 34 | 2 |
| 16 | 24 | 35 | 1 |
| 16 | 24 | 36 | 4 |
| 16 | 24 | 37 | 1 |
| 16 | 24 | 38 | 2 |
| 16 | 24 | 39 | 1 |
| 16 | 24 | 40 | 8 |
| 16 | 24 | 41 | 1 |
| 16 | 24 | 42 | 2 |
| 16 | 24 | 43 | 1 |
| 16 | 24 | 44 | 4 |
| 16 | 24 | 45 | 1 |
| 16 | 24 | 46 | 2 |
| 16 | 24 | 47 | 1 |
| 16 | 24 | 48 | 8 |
| 16 | 24 | 49 | 1 |
| 16 | 24 | 50 | 2 |
| 16 | 24 | 51 | 1 |
| 16 | 24 | 52 | 4 |
| 16 | 24 | 53 | 1 |
| 16 | 24 | 54 | 2 |
FAQ
What's the Greatest Common Factor (GCF) of 16, 24 and 40?
GCF of 16, 24 and 40 is 8
What prime factors do 16, 24 and 40 share?
All three factorizations contain 2 × 2 × 2, and multiplying those shared primes gives 8 — exactly the greatest common factor.
Can you get the GCF of 16, 24 and 40 two numbers at a time?
Yes. The GCF of 16 and 24 is 8, and the GCF of 8 and 40 is 8 — the same answer, because the greatest common factor is associative and does not depend on the order of the three numbers.
How does the GCF simplify the ratio 16 : 24 : 40?
Divide every term by the GCF 8: 16 ÷ 8 = 2, 24 ÷ 8 = 3 and 40 ÷ 8 = 5. So 16 : 24 : 40 in lowest terms is 2 : 3 : 5, and no whole number other than 1 divides all three of those.
See Also
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