GCF (HCF) of 100 and 185
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What is the Greatest Common Divisor of 100 and 185?
Answer
GCF (HCF) of 100 and 185 is
5
Common factors: 1, 5
5 divides both: 100 ÷ 5 = 20, 185 ÷ 5 = 37 — and 20 and 37 share no factor but 1, so no larger number divides both.
100 = 22 × 52
185 = 5 × 37
| Prime | 100 | 185 | Lowest power |
|---|---|---|---|
| 2 | 22 | — | — |
| 5 | 52 | 5 | 5 |
| 37 | — | 37 | — |
— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.
GCF = 5
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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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