GCF (HCF) of 88 and 132
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What is the Greatest Common Divisor of 88 and 132?
Answer
GCF (HCF) of 88 and 132 is
44
Common factors: 1, 2, 4, 11, 22, 44
44 divides both: 88 ÷ 44 = 2, 132 ÷ 44 = 3 — and 2 and 3 share no factor but 1, so no larger number divides both.
88 = 23 × 11
132 = 22 × 3 × 11
| Prime | 88 | 132 | Lowest power |
|---|---|---|---|
| 2 | 23 | 22 | 22 |
| 3 | — | 3 | — |
| 11 | 11 | 11 | 11 |
— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.
GCF = 22 × 11 = 44
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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 |
|---|---|---|
| 88 | 117 | 1 |
| 88 | 118 | 2 |
| 88 | 119 | 1 |
| 88 | 120 | 8 |
| 88 | 121 | 11 |
| 88 | 122 | 2 |
| 88 | 123 | 1 |
| 88 | 124 | 4 |
| 88 | 125 | 1 |
| 88 | 126 | 2 |
| 88 | 127 | 1 |
| 88 | 128 | 8 |
| 88 | 129 | 1 |
| 88 | 130 | 2 |
| 88 | 131 | 1 |
| 88 | 132 | 44 |
| 88 | 133 | 1 |
| 88 | 134 | 2 |
| 88 | 135 | 1 |
| 88 | 136 | 8 |
| 88 | 137 | 1 |
| 88 | 138 | 2 |
| 88 | 139 | 1 |
| 88 | 140 | 4 |
| 88 | 141 | 1 |
| 88 | 142 | 2 |
| 88 | 143 | 11 |
| 88 | 144 | 8 |
| 88 | 145 | 1 |
| 88 | 146 | 2 |
FAQ
What is the Greatest Common Divisor of 88 and 132?
GCF (HCF) of 88 and 132 is 44
How to find the GCF of 88 and 132?
You can find the GCF of 88 and 132 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 88 and 132 is 44.
What prime factors do 88 and 132 share?
The prime factorizations of 88 and 132 have 2 × 2 × 11 in common, and multiplying those shared primes gives 44 — exactly the greatest common factor.
How does the GCF reduce the fraction 88/132?
Divide the numerator and the denominator by the GCF 44: 88 ÷ 44 = 2 and 132 ÷ 44 = 3. So 88/132 in lowest terms is 2/3.
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