GCF (HCF) of 4 and 48
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What is the Greatest Common Divisor of 4 and 48?
Answer
GCF (HCF) of 4 and 48 is
4
Common factors: 1, 2, 4
4 divides 48 (48 ÷ 4 = 12), so the GCF is the smaller number itself.
4 = 22
48 = 24 × 3
| Prime | 4 | 48 | Lowest power |
|---|---|---|---|
| 2 | 22 | 24 | 22 |
| 3 | — | 3 | — |
— = 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
FAQ
What is the Greatest Common Divisor of 4 and 48?
GCF (HCF) of 4 and 48 is 4
How to find the GCF of 4 and 48?
You can find the GCF of 4 and 48 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 4 and 48 is 4.
What prime factors do 4 and 48 share?
The prime factorizations of 4 and 48 have 2 × 2 in common, and multiplying those shared primes gives 4 — exactly the greatest common factor.
How does the GCF reduce the fraction 4/48?
Divide the numerator and the denominator by the GCF 4: 4 ÷ 4 = 1 and 48 ÷ 4 = 12. So 4/48 in lowest terms is 1/12.
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