GCF (HCF) of 99 and 165
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What is the Greatest Common Divisor of 99 and 165?
Answer
GCF (HCF) of 99 and 165 is
33
Common factors: 1, 3, 11, 33
33 divides both: 99 ÷ 33 = 3, 165 ÷ 33 = 5 — and 3 and 5 share no factor but 1, so no larger number divides both.
99 = 32 × 11
165 = 3 × 5 × 11
| Prime | 99 | 165 | Lowest power |
|---|---|---|---|
| 3 | 32 | 3 | 3 |
| 5 | — | 5 | — |
| 11 | 11 | 11 | 11 |
— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.
GCF = 3 × 11 = 33
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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
GCF Table
| Number 1 | Number 2 | GCF |
|---|---|---|
| 99 | 150 | 3 |
| 99 | 151 | 1 |
| 99 | 152 | 1 |
| 99 | 153 | 9 |
| 99 | 154 | 11 |
| 99 | 155 | 1 |
| 99 | 156 | 3 |
| 99 | 157 | 1 |
| 99 | 158 | 1 |
| 99 | 159 | 3 |
| 99 | 160 | 1 |
| 99 | 161 | 1 |
| 99 | 162 | 9 |
| 99 | 163 | 1 |
| 99 | 164 | 1 |
| 99 | 165 | 33 |
| 99 | 166 | 1 |
| 99 | 167 | 1 |
| 99 | 168 | 3 |
| 99 | 169 | 1 |
| 99 | 170 | 1 |
| 99 | 171 | 9 |
| 99 | 172 | 1 |
| 99 | 173 | 1 |
| 99 | 174 | 3 |
| 99 | 175 | 1 |
| 99 | 176 | 11 |
| 99 | 177 | 3 |
| 99 | 178 | 1 |
| 99 | 179 | 1 |
FAQ
What is the Greatest Common Divisor of 99 and 165?
GCF (HCF) of 99 and 165 is 33
How to find the GCF of 99 and 165?
You can find the GCF of 99 and 165 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 99 and 165 is 33.
What prime factors do 99 and 165 share?
The prime factorizations of 99 and 165 have 3 × 11 in common, and multiplying those shared primes gives 33 — exactly the greatest common factor.
How does the GCF reduce the fraction 99/165?
Divide the numerator and the denominator by the GCF 33: 99 ÷ 33 = 3 and 165 ÷ 33 = 5. So 99/165 in lowest terms is 3/5.
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