GCF (HCF) of 90 and 150
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What is the Greatest Common Divisor of 90 and 150?
Answer
GCF (HCF) of 90 and 150 is
30
Common factors: 1, 2, 3, 5, 6, 10, 15, 30
30 divides both: 90 ÷ 30 = 3, 150 ÷ 30 = 5 — and 3 and 5 share no factor but 1, so no larger number divides both.
90 = 2 × 32 × 5
150 = 2 × 3 × 52
| Prime | 90 | 150 | Lowest power |
|---|---|---|---|
| 2 | 2 | 2 | 2 |
| 3 | 32 | 3 | 3 |
| 5 | 5 | 52 | 5 |
GCF = 2 × 3 × 5 = 30
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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
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FAQ
What is the Greatest Common Divisor of 90 and 150?
GCF (HCF) of 90 and 150 is 30
How to find the GCF of 90 and 150?
You can find the GCF of 90 and 150 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 90 and 150 is 30.
What prime factors do 90 and 150 share?
The prime factorizations of 90 and 150 have 2 × 3 × 5 in common, and multiplying those shared primes gives 30 — exactly the greatest common factor.
How does the GCF reduce the fraction 90/150?
Divide the numerator and the denominator by the GCF 30: 90 ÷ 30 = 3 and 150 ÷ 30 = 5. So 90/150 in lowest terms is 3/5.
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