GCF (HCF) of 48 and 128
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What is the Greatest Common Divisor of 48 and 128?
Answer
GCF (HCF) of 48 and 128 is
16
Common factors: 1, 2, 4, 8, 16
16 divides both: 48 ÷ 16 = 3, 128 ÷ 16 = 8 — and 3 and 8 share no factor but 1, so no larger number divides both.
48 = 24 × 3
128 = 27
| Prime | 48 | 128 | Lowest power |
|---|---|---|---|
| 2 | 24 | 27 | 24 |
| 3 | 3 | — | — |
— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.
GCF = 24 = 16
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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
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FAQ
What is the Greatest Common Divisor of 48 and 128?
GCF (HCF) of 48 and 128 is 16
How to find the GCF of 48 and 128?
You can find the GCF of 48 and 128 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 48 and 128 is 16.
What prime factors do 48 and 128 share?
The prime factorizations of 48 and 128 have 2 × 2 × 2 × 2 in common, and multiplying those shared primes gives 16 — exactly the greatest common factor.
How does the GCF reduce the fraction 48/128?
Divide the numerator and the denominator by the GCF 16: 48 ÷ 16 = 3 and 128 ÷ 16 = 8. So 48/128 in lowest terms is 3/8.
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