GCF for 36, 60 and 84
"Greatest Common Factor of 3 Numbers" Calculator
What's the Greatest Common Factor (GCF) of 36, 60 and 84?
Answer
GCF of 36, 60 and 84 is
12
Common factors: 1, 2, 3, 4, 6, 12
12 divides all three: 36 ÷ 12 = 3, 60 ÷ 12 = 5, 84 ÷ 12 = 7 — and 3, 5 and 7 have no factor but 1 common to all of them, so no larger number divides all three.
36 = 22 × 32
60 = 22 × 3 × 5
84 = 22 × 3 × 7
| Prime | 36 | 60 | 84 | Lowest power |
|---|---|---|---|---|
| 2 | 22 | 22 | 22 | 22 |
| 3 | 32 | 3 | 3 | 3 |
| 5 | — | 5 | — | — |
| 7 | — | — | 7 | — |
— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.
GCF = 22 × 3 = 12
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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 |
|---|---|---|---|
| 36 | 60 | 69 | 3 |
| 36 | 60 | 70 | 2 |
| 36 | 60 | 71 | 1 |
| 36 | 60 | 72 | 12 |
| 36 | 60 | 73 | 1 |
| 36 | 60 | 74 | 2 |
| 36 | 60 | 75 | 3 |
| 36 | 60 | 76 | 4 |
| 36 | 60 | 77 | 1 |
| 36 | 60 | 78 | 6 |
| 36 | 60 | 79 | 1 |
| 36 | 60 | 80 | 4 |
| 36 | 60 | 81 | 3 |
| 36 | 60 | 82 | 2 |
| 36 | 60 | 83 | 1 |
| 36 | 60 | 84 | 12 |
| 36 | 60 | 85 | 1 |
| 36 | 60 | 86 | 2 |
| 36 | 60 | 87 | 3 |
| 36 | 60 | 88 | 4 |
| 36 | 60 | 89 | 1 |
| 36 | 60 | 90 | 6 |
| 36 | 60 | 91 | 1 |
| 36 | 60 | 92 | 4 |
| 36 | 60 | 93 | 3 |
| 36 | 60 | 94 | 2 |
| 36 | 60 | 95 | 1 |
| 36 | 60 | 96 | 12 |
| 36 | 60 | 97 | 1 |
| 36 | 60 | 98 | 2 |