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GCF (HCF) of 90 and 210

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 90 and 210?

Answer

GCF (HCF) of 90 and 210 is

30

Common factors: 1, 2, 3, 5, 6, 10, 15, 30

30 divides both: 90 ÷ 30 = 3, 210 ÷ 30 = 7 — and 3 and 7 share no factor but 1, so no larger number divides both.

90 = 2 × 3² × 5

210 = 2 × 3 × 5 × 7

Prime	90	210	Lowest power
2	2	2	2
3	3²	3	3
5	5	5	5
7	—	7	—

— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.

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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What is the GCF (HCF) of 90 and 210. The GCF of 90 and 210 is 30 — 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	100	10
90	110	10
90	115	5
90	120	30
90	135	45
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

FAQ

What is the Greatest Common Divisor of 90 and 210?

GCF (HCF) of 90 and 210 is 30

How to find the GCF of 90 and 210?

You can find the GCF of 90 and 210 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 90 and 210 is 30.

What prime factors do 90 and 210 share?

The prime factorizations of 90 and 210 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 90/210?

Divide the numerator and the denominator by the GCF 30: 90 ÷ 30 = 3 and 210 ÷ 30 = 7. So 90/210 in lowest terms is 3/7.