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GCF (HCF) of 90 and 270

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 90 and 270?

Answer

GCF (HCF) of 90 and 270 is

90

Common factors: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

90 divides 270 (270 ÷ 90 = 3), so the GCF is the smaller number itself.

90 = 2 × 3² × 5

270 = 2 × 3³ × 5

Prime	90	270	Lowest power
2	2	2	2
3	3²	3³	3²
5	5	5	5

GCF = 2 × 3² × 5 = 90

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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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What is the GCF (HCF) of 90 and 270. The GCF of 90 and 270 is 90 — the biggest number that can divide both integers. Step-by-step GCF (GCD) calculation by factoring.

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GCF Table

Number 1	Number 2	GCF
90	145	5
90	150	30
90	155	5
90	160	10
90	165	15
90	180	90
90	185	5
90	200	10
90	210	30
90	220	10
90	235	5
90	245	5
90	250	10
90	255	15
90	265	5
90	270	90
90	275	5
90	290	10
90	295	5
90	305	5
90	310	10
90	315	45
90	320	10
90	330	30
90	335	5
90	350	10
90	360	90
90	365	5
90	370	10
90	375	15

FAQ

What is the Greatest Common Divisor of 90 and 270?

GCF (HCF) of 90 and 270 is 90

How to find the GCF of 90 and 270?

You can find the GCF of 90 and 270 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 90 and 270 is 90.

What prime factors do 90 and 270 share?

The prime factorizations of 90 and 270 have 2 × 3 × 3 × 5 in common, and multiplying those shared primes gives 90 — exactly the greatest common factor.

How does the GCF reduce the fraction 90/270?

Divide the numerator and the denominator by the GCF 90: 90 ÷ 90 = 1 and 270 ÷ 90 = 3. So 90/270 in lowest terms is 1/3.