GCF (HCF) of 124 and 372
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What is the Greatest Common Divisor of 124 and 372?
Answer
GCF (HCF) of 124 and 372 is
124
Common factors: 1, 2, 4, 31, 62, 124
124 divides 372 (372 ÷ 124 = 3), so the GCF is the smaller number itself.
124 = 22 × 31
372 = 22 × 3 × 31
| Prime | 124 | 372 | Lowest power |
|---|---|---|---|
| 2 | 22 | 22 | 22 |
| 3 | — | 3 | — |
| 31 | 31 | 31 | 31 |
— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.
GCF = 22 × 31 = 124
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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 | 357 | 1 |
| 124 | 358 | 2 |
| 124 | 359 | 1 |
| 124 | 360 | 4 |
| 124 | 361 | 1 |
| 124 | 362 | 2 |
| 124 | 363 | 1 |
| 124 | 364 | 4 |
| 124 | 365 | 1 |
| 124 | 366 | 2 |
| 124 | 367 | 1 |
| 124 | 368 | 4 |
| 124 | 369 | 1 |
| 124 | 370 | 2 |
| 124 | 371 | 1 |
| 124 | 372 | 124 |
| 124 | 373 | 1 |
| 124 | 374 | 2 |
| 124 | 375 | 1 |
| 124 | 376 | 4 |
| 124 | 377 | 1 |
| 124 | 378 | 2 |
| 124 | 379 | 1 |
| 124 | 380 | 4 |
| 124 | 381 | 1 |
| 124 | 382 | 2 |
| 124 | 383 | 1 |
| 124 | 384 | 4 |
| 124 | 385 | 1 |
| 124 | 386 | 2 |
FAQ
What is the Greatest Common Divisor of 124 and 372?
GCF (HCF) of 124 and 372 is 124
How to find the GCF of 124 and 372?
You can find the GCF of 124 and 372 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 124 and 372 is 124.
What prime factors do 124 and 372 share?
The prime factorizations of 124 and 372 have 2 × 2 × 31 in common, and multiplying those shared primes gives 124 — exactly the greatest common factor.
How does the GCF reduce the fraction 124/372?
Divide the numerator and the denominator by the GCF 124: 124 ÷ 124 = 1 and 372 ÷ 124 = 3. So 124/372 in lowest terms is 1/3.
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