GCF (HCF) of 58 and 60
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What is the Greatest Common Divisor of 58 and 60?
Answer
GCF (HCF) of 58 and 60 is
2
Common factors: 1, 2
2 divides both: 58 ÷ 2 = 29, 60 ÷ 2 = 30 — and 29 and 30 share no factor but 1, so no larger number divides both.
58 = 2 × 29
60 = 22 × 3 × 5
| Prime | 58 | 60 | Lowest power |
|---|---|---|---|
| 2 | 2 | 22 | 2 |
| 3 | — | 3 | — |
| 5 | — | 5 | — |
| 29 | 29 | — | — |
— = 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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