GCF for 8, 21 and 75
"Greatest Common Factor of 3 Numbers" Calculator
What's the Greatest Common Factor (GCF) of 8, 21 and 75?
Answer
GCF of 8, 21 and 75 is
1
Common factors: 1
Only 1 divides all three: no prime is a factor of each of 8, 21 and 75.
Pairs do share factors — GCF(21, 75) = 3 — just none greater than 1 common to all three.
8 = 23
21 = 3 × 7
75 = 3 × 52
| Prime | 8 | 21 | 75 | Lowest power |
|---|---|---|---|---|
| 2 | 23 | — | — | — |
| 3 | — | 3 | 3 | — |
| 5 | — | — | 52 | — |
| 7 | — | 7 | — | — |
— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.
GCF = 1
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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 |
|---|---|---|---|
| 8 | 21 | 60 | 1 |
| 8 | 21 | 61 | 1 |
| 8 | 21 | 62 | 1 |
| 8 | 21 | 63 | 1 |
| 8 | 21 | 64 | 1 |
| 8 | 21 | 65 | 1 |
| 8 | 21 | 66 | 1 |
| 8 | 21 | 67 | 1 |
| 8 | 21 | 68 | 1 |
| 8 | 21 | 69 | 1 |
| 8 | 21 | 70 | 1 |
| 8 | 21 | 71 | 1 |
| 8 | 21 | 72 | 1 |
| 8 | 21 | 73 | 1 |
| 8 | 21 | 74 | 1 |
| 8 | 21 | 75 | 1 |
| 8 | 21 | 76 | 1 |
| 8 | 21 | 77 | 1 |
| 8 | 21 | 78 | 1 |
| 8 | 21 | 79 | 1 |
| 8 | 21 | 80 | 1 |
| 8 | 21 | 81 | 1 |
| 8 | 21 | 82 | 1 |
| 8 | 21 | 83 | 1 |
| 8 | 21 | 84 | 1 |
| 8 | 21 | 85 | 1 |
| 8 | 21 | 86 | 1 |
| 8 | 21 | 87 | 1 |
| 8 | 21 | 88 | 1 |
| 8 | 21 | 89 | 1 |