GCF for 18, 32 and 48
"Greatest Common Factor of 3 Numbers" Calculator
What's the Greatest Common Factor (GCF) of 18, 32 and 48?
Answer
GCF of 18, 32 and 48 is
2
Common factors: 1, 2
2 divides all three: 18 ÷ 2 = 9, 32 ÷ 2 = 16, 48 ÷ 2 = 24 — and 9, 16 and 24 have no factor but 1 common to all of them, so no larger number divides all three.
18 = 2 × 32
32 = 25
48 = 24 × 3
| Prime | 18 | 32 | 48 | Lowest power |
|---|---|---|---|---|
| 2 | 2 | 25 | 24 | 2 |
| 3 | 32 | — | 3 | — |
— = 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 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 |
|---|---|---|---|
| 18 | 32 | 33 | 1 |
| 18 | 32 | 34 | 2 |
| 18 | 32 | 35 | 1 |
| 18 | 32 | 36 | 2 |
| 18 | 32 | 37 | 1 |
| 18 | 32 | 38 | 2 |
| 18 | 32 | 39 | 1 |
| 18 | 32 | 40 | 2 |
| 18 | 32 | 41 | 1 |
| 18 | 32 | 42 | 2 |
| 18 | 32 | 43 | 1 |
| 18 | 32 | 44 | 2 |
| 18 | 32 | 45 | 1 |
| 18 | 32 | 46 | 2 |
| 18 | 32 | 47 | 1 |
| 18 | 32 | 48 | 2 |
| 18 | 32 | 49 | 1 |
| 18 | 32 | 50 | 2 |
| 18 | 32 | 51 | 1 |
| 18 | 32 | 52 | 2 |
| 18 | 32 | 53 | 1 |
| 18 | 32 | 54 | 2 |
| 18 | 32 | 55 | 1 |
| 18 | 32 | 56 | 2 |
| 18 | 32 | 57 | 1 |
| 18 | 32 | 58 | 2 |
| 18 | 32 | 59 | 1 |
| 18 | 32 | 60 | 2 |
| 18 | 32 | 61 | 1 |
| 18 | 32 | 62 | 2 |
FAQ
What's the Greatest Common Factor (GCF) of 18, 32 and 48?
GCF of 18, 32 and 48 is 2
What prime factors do 18, 32 and 48 share?
All three factorizations contain 2, and multiplying those shared primes gives 2 — exactly the greatest common factor.
Can you get the GCF of 18, 32 and 48 two numbers at a time?
Yes. The GCF of 18 and 32 is 2, and the GCF of 2 and 48 is 2 — 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 18 : 32 : 48?
Divide every term by the GCF 2: 18 ÷ 2 = 9, 32 ÷ 2 = 16 and 48 ÷ 2 = 24. So 18 : 32 : 48 in lowest terms is 9 : 16 : 24, and no whole number other than 1 divides all three of those.
See Also
- What is the GCF of 16, 18 and 30?
- What is the GCF of 16, 20 and 27?
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- What is the GCF of 16, 32 and 40?
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- What is the GCF of 28, 42 and 70?
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