GCF (HCF) of 42 and 1365
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What is the Greatest Common Divisor of 42 and 1,365?
Answer
GCF (HCF) of 42 and 1,365 is
21
Common factors: 1, 3, 7, 21
21 divides both: 42 ÷ 21 = 2; 1,365 ÷ 21 = 65 — and 2 and 65 share no factor but 1, so no larger number divides both.
42 = 2 × 3 × 7
1,365 = 3 × 5 × 7 × 13
| Prime | 42 | 1,365 | Lowest power |
|---|---|---|---|
| 2 | 2 | — | — |
| 3 | 3 | 3 | 3 |
| 5 | — | 5 | — |
| 7 | 7 | 7 | 7 |
| 13 | — | 13 | — |
— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.
GCF = 3 × 7 = 21
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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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