GCF (HCF) of 90 and 275
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What is the Greatest Common Divisor of 90 and 275?
Answer
GCF (HCF) of 90 and 275 is
5
Common factors: 1, 5
5 divides both: 90 ÷ 5 = 18, 275 ÷ 5 = 55 — and 18 and 55 share no factor but 1, so no larger number divides both.
90 = 2 × 32 × 5
275 = 52 × 11
| Prime | 90 | 275 | Lowest power |
|---|---|---|---|
| 2 | 2 | — | — |
| 3 | 32 | — | — |
| 5 | 5 | 52 | 5 |
| 11 | — | 11 | — |
— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.
GCF = 5
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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 90 and 275?
GCF (HCF) of 90 and 275 is 5
How to find the GCF of 90 and 275?
You can find the GCF of 90 and 275 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 90 and 275 is 5.
What prime factors do 90 and 275 share?
The prime factorizations of 90 and 275 have 5 in common, and multiplying those shared primes gives 5 — exactly the greatest common factor.
How does the GCF reduce the fraction 90/275?
Divide the numerator and the denominator by the GCF 5: 90 ÷ 5 = 18 and 275 ÷ 5 = 55. So 90/275 in lowest terms is 18/55.
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