GCF (HCF) of 124 and 152
"Greatest Common Factor" Calculator
What is the Greatest Common Divisor of 124 and 152?
Answer
GCF (HCF) of 124 and 152 is
4
Common factors: 1, 2, 4
4 divides both: 124 ÷ 4 = 31, 152 ÷ 4 = 38 — and 31 and 38 share no factor but 1, so no larger number divides both.
124 = 22 × 31
152 = 23 × 19
| Prime | 124 | 152 | Lowest power |
|---|---|---|---|
| 2 | 22 | 23 | 22 |
| 19 | — | 19 | — |
| 31 | 31 | — | — |
— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.
GCF = 22 = 4
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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 |
|---|---|---|
| 124 | 137 | 1 |
| 124 | 138 | 2 |
| 124 | 139 | 1 |
| 124 | 140 | 4 |
| 124 | 141 | 1 |
| 124 | 142 | 2 |
| 124 | 143 | 1 |
| 124 | 144 | 4 |
| 124 | 145 | 1 |
| 124 | 146 | 2 |
| 124 | 147 | 1 |
| 124 | 148 | 4 |
| 124 | 149 | 1 |
| 124 | 150 | 2 |
| 124 | 151 | 1 |
| 124 | 152 | 4 |
| 124 | 153 | 1 |
| 124 | 154 | 2 |
| 124 | 155 | 31 |
| 124 | 156 | 4 |
| 124 | 157 | 1 |
| 124 | 158 | 2 |
| 124 | 159 | 1 |
| 124 | 160 | 4 |
| 124 | 161 | 1 |
| 124 | 162 | 2 |
| 124 | 163 | 1 |
| 124 | 164 | 4 |
| 124 | 165 | 1 |
| 124 | 166 | 2 |
FAQ
What is the Greatest Common Divisor of 124 and 152?
GCF (HCF) of 124 and 152 is 4
How to find the GCF of 124 and 152?
You can find the GCF of 124 and 152 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 124 and 152 is 4.
What prime factors do 124 and 152 share?
The prime factorizations of 124 and 152 have 2 × 2 in common, and multiplying those shared primes gives 4 — exactly the greatest common factor.
How does the GCF reduce the fraction 124/152?
Divide the numerator and the denominator by the GCF 4: 124 ÷ 4 = 31 and 152 ÷ 4 = 38. So 124/152 in lowest terms is 31/38.
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