GCF (HCF) of 59 and 118
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What is the Greatest Common Divisor of 59 and 118?
Answer
GCF (HCF) of 59 and 118 is
59
Common factors: 1, 59
59 divides 118 (118 ÷ 59 = 2), so the GCF is the smaller number itself.
59 — prime
118 = 2 × 59
| Prime | 59 | 118 | Lowest power |
|---|---|---|---|
| 2 | — | 2 | — |
| 59 | 59 | 59 | 59 |
— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.
GCF = 59
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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 |
|---|---|---|
| 59 | 103 | 1 |
| 59 | 104 | 1 |
| 59 | 105 | 1 |
| 59 | 106 | 1 |
| 59 | 107 | 1 |
| 59 | 108 | 1 |
| 59 | 109 | 1 |
| 59 | 110 | 1 |
| 59 | 111 | 1 |
| 59 | 112 | 1 |
| 59 | 113 | 1 |
| 59 | 114 | 1 |
| 59 | 115 | 1 |
| 59 | 116 | 1 |
| 59 | 117 | 1 |
| 59 | 118 | 59 |
| 59 | 119 | 1 |
| 59 | 120 | 1 |
| 59 | 121 | 1 |
| 59 | 122 | 1 |
| 59 | 123 | 1 |
| 59 | 124 | 1 |
| 59 | 125 | 1 |
| 59 | 126 | 1 |
| 59 | 127 | 1 |
| 59 | 128 | 1 |
| 59 | 129 | 1 |
| 59 | 130 | 1 |
| 59 | 131 | 1 |
| 59 | 132 | 1 |
FAQ
What is the Greatest Common Divisor of 59 and 118?
GCF (HCF) of 59 and 118 is 59
How to find the GCF of 59 and 118?
You can find the GCF of 59 and 118 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 59 and 118 is 59.
What prime factors do 59 and 118 share?
The prime factorizations of 59 and 118 have 59 in common, and multiplying those shared primes gives 59 — exactly the greatest common factor.
How does the GCF reduce the fraction 59/118?
Divide the numerator and the denominator by the GCF 59: 59 ÷ 59 = 1 and 118 ÷ 59 = 2. So 59/118 in lowest terms is 1/2.
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