GCF (HCF) of 90 and 185
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What is the Greatest Common Divisor of 90 and 185?
Answer
GCF (HCF) of 90 and 185 is
5
Common factors: 1, 5
5 divides both: 90 ÷ 5 = 18, 185 ÷ 5 = 37 — and 18 and 37 share no factor but 1, so no larger number divides both.
90 = 2 × 32 × 5
185 = 5 × 37
| Prime | 90 | 185 | Lowest power |
|---|---|---|---|
| 2 | 2 | — | — |
| 3 | 32 | — | — |
| 5 | 5 | 5 | 5 |
| 37 | — | 37 | — |
— = 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 185?
GCF (HCF) of 90 and 185 is 5
How to find the GCF of 90 and 185?
You can find the GCF of 90 and 185 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 90 and 185 is 5.
What prime factors do 90 and 185 share?
The prime factorizations of 90 and 185 have 5 in common, and multiplying those shared primes gives 5 — exactly the greatest common factor.
How does the GCF reduce the fraction 90/185?
Divide the numerator and the denominator by the GCF 5: 90 ÷ 5 = 18 and 185 ÷ 5 = 37. So 90/185 in lowest terms is 18/37.
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