GCF for 24, 36 and 60
"Greatest Common Factor of 3 Numbers" Calculator
What's the Greatest Common Factor (GCF) of 24, 36 and 60?
Answer
GCF of 24, 36 and 60 is
12
Common factors: 1, 2, 3, 4, 6, 12
12 divides all three: 24 ÷ 12 = 2, 36 ÷ 12 = 3, 60 ÷ 12 = 5 — and 2, 3 and 5 have no factor but 1 common to all of them, so no larger number divides all three.
24 = 23 × 3
36 = 22 × 32
60 = 22 × 3 × 5
| Prime | 24 | 36 | 60 | Lowest power |
|---|---|---|---|---|
| 2 | 23 | 22 | 22 | 22 |
| 3 | 3 | 32 | 3 | 3 |
| 5 | — | — | 5 | — |
— = 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 |
|---|---|---|---|
| 24 | 36 | 45 | 3 |
| 24 | 36 | 46 | 2 |
| 24 | 36 | 47 | 1 |
| 24 | 36 | 48 | 12 |
| 24 | 36 | 49 | 1 |
| 24 | 36 | 50 | 2 |
| 24 | 36 | 51 | 3 |
| 24 | 36 | 52 | 4 |
| 24 | 36 | 53 | 1 |
| 24 | 36 | 54 | 6 |
| 24 | 36 | 55 | 1 |
| 24 | 36 | 56 | 4 |
| 24 | 36 | 57 | 3 |
| 24 | 36 | 58 | 2 |
| 24 | 36 | 59 | 1 |
| 24 | 36 | 60 | 12 |
| 24 | 36 | 61 | 1 |
| 24 | 36 | 62 | 2 |
| 24 | 36 | 63 | 3 |
| 24 | 36 | 64 | 4 |
| 24 | 36 | 65 | 1 |
| 24 | 36 | 66 | 6 |
| 24 | 36 | 67 | 1 |
| 24 | 36 | 68 | 4 |
| 24 | 36 | 69 | 3 |
| 24 | 36 | 70 | 2 |
| 24 | 36 | 71 | 1 |
| 24 | 36 | 72 | 12 |
| 24 | 36 | 73 | 1 |
| 24 | 36 | 74 | 2 |