GCF (HCF) of 96 and 36
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What is the Greatest Common Divisor of 96 and 36?
Answer
GCF (HCF) of 96 and 36 is
12
Common factors: 1, 2, 3, 4, 6, 12
12 divides both: 96 ÷ 12 = 8, 36 ÷ 12 = 3 — and 8 and 3 share no factor but 1, so no larger number divides both.
96 = 25 × 3
36 = 22 × 32
| Prime | 96 | 36 | Lowest power |
|---|---|---|---|
| 2 | 25 | 22 | 22 |
| 3 | 3 | 32 | 3 |
GCF = 22 × 3 = 12
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See Also
- Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
- Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers
- Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers
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GCF Table
| Number 1 | Number 2 | GCF |
|---|---|---|
| 96 | 21 | 3 |
| 96 | 22 | 2 |
| 96 | 23 | 1 |
| 96 | 24 | 24 |
| 96 | 25 | 1 |
| 96 | 26 | 2 |
| 96 | 27 | 3 |
| 96 | 28 | 4 |
| 96 | 29 | 1 |
| 96 | 30 | 6 |
| 96 | 31 | 1 |
| 96 | 32 | 32 |
| 96 | 33 | 3 |
| 96 | 34 | 2 |
| 96 | 35 | 1 |
| 96 | 36 | 12 |
| 96 | 37 | 1 |
| 96 | 38 | 2 |
| 96 | 39 | 3 |
| 96 | 40 | 8 |
| 96 | 41 | 1 |
| 96 | 42 | 6 |
| 96 | 43 | 1 |
| 96 | 44 | 4 |
| 96 | 45 | 3 |
| 96 | 46 | 2 |
| 96 | 47 | 1 |
| 96 | 48 | 48 |
| 96 | 49 | 1 |
| 96 | 50 | 2 |