GCF for 40, 60 and 100
"Greatest Common Factor of 3 Numbers" Calculator
What's the Greatest Common Factor (GCF) of 40, 60 and 100?
Answer
GCF of 40, 60 and 100 is
20
Common factors: 1, 2, 4, 5, 10, 20
20 divides all three: 40 ÷ 20 = 2, 60 ÷ 20 = 3, 100 ÷ 20 = 5 — and 2, 3 and 5 have no factor but 1 common to all of them, so no larger number divides all three.
40 = 23 × 5
60 = 22 × 3 × 5
100 = 22 × 52
| Prime | 40 | 60 | 100 | Lowest power |
|---|---|---|---|---|
| 2 | 23 | 22 | 22 | 22 |
| 3 | — | 3 | — | — |
| 5 | 5 | 5 | 52 | 5 |
— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.
GCF = 22 × 5 = 20
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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
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GCF Table
| 1st | 2nd | 3rd | GCF |
|---|---|---|---|
| 40 | 60 | 85 | 5 |
| 40 | 60 | 86 | 2 |
| 40 | 60 | 87 | 1 |
| 40 | 60 | 88 | 4 |
| 40 | 60 | 89 | 1 |
| 40 | 60 | 90 | 10 |
| 40 | 60 | 91 | 1 |
| 40 | 60 | 92 | 4 |
| 40 | 60 | 93 | 1 |
| 40 | 60 | 94 | 2 |
| 40 | 60 | 95 | 5 |
| 40 | 60 | 96 | 4 |
| 40 | 60 | 97 | 1 |
| 40 | 60 | 98 | 2 |
| 40 | 60 | 99 | 1 |
| 40 | 60 | 100 | 20 |
| 40 | 60 | 101 | 1 |
| 40 | 60 | 102 | 2 |
| 40 | 60 | 103 | 1 |
| 40 | 60 | 104 | 4 |
| 40 | 60 | 105 | 5 |
| 40 | 60 | 106 | 2 |
| 40 | 60 | 107 | 1 |
| 40 | 60 | 108 | 4 |
| 40 | 60 | 109 | 1 |
| 40 | 60 | 110 | 10 |
| 40 | 60 | 111 | 1 |
| 40 | 60 | 112 | 4 |
| 40 | 60 | 113 | 1 |
| 40 | 60 | 114 | 2 |