GCF (HCF) of 88 and 110
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What is the Greatest Common Divisor of 88 and 110?
Answer
GCF (HCF) of 88 and 110 is
22
Common factors: 1, 2, 11, 22
22 divides both: 88 ÷ 22 = 4, 110 ÷ 22 = 5 — and 4 and 5 share no factor but 1, so no larger number divides both.
88 = 23 × 11
110 = 2 × 5 × 11
| Prime | 88 | 110 | Lowest power |
|---|---|---|---|
| 2 | 23 | 2 | 2 |
| 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 = 2 × 11 = 22
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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 | 95 | 1 |
| 88 | 96 | 8 |
| 88 | 97 | 1 |
| 88 | 98 | 2 |
| 88 | 99 | 11 |
| 88 | 100 | 4 |
| 88 | 101 | 1 |
| 88 | 102 | 2 |
| 88 | 103 | 1 |
| 88 | 104 | 8 |
| 88 | 105 | 1 |
| 88 | 106 | 2 |
| 88 | 107 | 1 |
| 88 | 108 | 4 |
| 88 | 109 | 1 |
| 88 | 110 | 22 |
| 88 | 111 | 1 |
| 88 | 112 | 8 |
| 88 | 113 | 1 |
| 88 | 114 | 2 |
| 88 | 115 | 1 |
| 88 | 116 | 4 |
| 88 | 117 | 1 |
| 88 | 118 | 2 |
| 88 | 119 | 1 |
| 88 | 120 | 8 |
| 88 | 121 | 11 |
| 88 | 122 | 2 |
| 88 | 123 | 1 |
| 88 | 124 | 4 |
FAQ
What is the Greatest Common Divisor of 88 and 110?
GCF (HCF) of 88 and 110 is 22
How to find the GCF of 88 and 110?
You can find the GCF of 88 and 110 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 88 and 110 is 22.
What prime factors do 88 and 110 share?
The prime factorizations of 88 and 110 have 2 × 11 in common, and multiplying those shared primes gives 22 — exactly the greatest common factor.
How does the GCF reduce the fraction 88/110?
Divide the numerator and the denominator by the GCF 22: 88 ÷ 22 = 4 and 110 ÷ 22 = 5. So 88/110 in lowest terms is 4/5.
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