GCF (HCF) of 250 and 128
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What is the Greatest Common Divisor of 250 and 128?
Answer
GCF (HCF) of 250 and 128 is
2
Common factors: 1, 2
2 divides both: 250 ÷ 2 = 125, 128 ÷ 2 = 64 — and 125 and 64 share no factor but 1, so no larger number divides both.
250 = 2 × 53
128 = 27
| Prime | 250 | 128 | Lowest power |
|---|---|---|---|
| 2 | 2 | 27 | 2 |
| 5 | 53 | — | — |
— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.
GCF = 2
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- 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
FAQ
What is the Greatest Common Divisor of 250 and 128?
GCF (HCF) of 250 and 128 is 2
How to find the GCF of 250 and 128?
You can find the GCF of 250 and 128 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 250 and 128 is 2.
What prime factors do 250 and 128 share?
The prime factorizations of 250 and 128 have 2 in common, and multiplying those shared primes gives 2 — exactly the greatest common factor.
How does the GCF reduce the fraction 250/128?
Divide the numerator and the denominator by the GCF 2: 250 ÷ 2 = 125 and 128 ÷ 2 = 64. So 250/128 in lowest terms is 125/64.
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