GCF (HCF) of 5 and 25
"Greatest Common Factor" Calculator
What is the Greatest Common Divisor of 5 and 25?
Answer
GCF (HCF) of 5 and 25 is
5
Common factors: 1, 5
5 divides 25 (25 ÷ 5 = 5), so the GCF is the smaller number itself.
5 — prime
25 = 52
| Prime | 5 | 25 | Lowest power |
|---|---|---|---|
| 5 | 5 | 52 | 5 |
GCF = 5
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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 5 and 25?
GCF (HCF) of 5 and 25 is 5
How to find the GCF of 5 and 25?
You can find the GCF of 5 and 25 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 5 and 25 is 5.
What prime factors do 5 and 25 share?
The prime factorizations of 5 and 25 have 5 in common, and multiplying those shared primes gives 5 — exactly the greatest common factor.
How does the GCF reduce the fraction 5/25?
Divide the numerator and the denominator by the GCF 5: 5 ÷ 5 = 1 and 25 ÷ 5 = 5. So 5/25 in lowest terms is 1/5.
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