GCF (HCF) of 26 and 42
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What is the Greatest Common Divisor of 26 and 42?
Answer
GCF (HCF) of 26 and 42 is
2
Common factors: 1, 2
2 divides both: 26 ÷ 2 = 13, 42 ÷ 2 = 21 — and 13 and 21 share no factor but 1, so no larger number divides both.
26 = 2 × 13
42 = 2 × 3 × 7
| Prime | 26 | 42 | Lowest power |
|---|---|---|---|
| 2 | 2 | 2 | 2 |
| 3 | — | 3 | — |
| 7 | — | 7 | — |
| 13 | 13 | — | — |
— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.
GCF = 2
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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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