GCF (HCF) of 105 and 770
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What is the Greatest Common Divisor of 105 and 770?
Answer
GCF (HCF) of 105 and 770 is
35
Common factors: 1, 5, 7, 35
35 divides both: 105 ÷ 35 = 3, 770 ÷ 35 = 22 — and 3 and 22 share no factor but 1, so no larger number divides both.
105 = 3 × 5 × 7
770 = 2 × 5 × 7 × 11
| Prime | 105 | 770 | Lowest power |
|---|---|---|---|
| 2 | — | 2 | — |
| 3 | 3 | — | — |
| 5 | 5 | 5 | 5 |
| 7 | 7 | 7 | 7 |
| 11 | — | 11 | — |
— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.
GCF = 5 × 7 = 35
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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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