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GCF (HCF) of 90 and 465

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 90 and 465?

Answer

GCF (HCF) of 90 and 465 is

15

Common factors: 1, 3, 5, 15

15 divides both: 90 ÷ 15 = 6, 465 ÷ 15 = 31 — and 6 and 31 share no factor but 1, so no larger number divides both.

90 = 2 × 3² × 5

465 = 3 × 5 × 31

Prime	90	465	Lowest power
2	2	—	—
3	3²	3	3
5	5	5	5
31	—	31	—

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

GCF = 3 × 5 = 15

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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 465. The GCF of 90 and 465 is 15 — 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	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
90	385	5
90	395	5
90	400	10
90	405	45
90	410	10
90	425	5
90	440	10
90	455	5
90	460	10
90	465	15
90	480	30
90	485	5
90	495	45
90	500	10

FAQ

What is the Greatest Common Divisor of 90 and 465?

GCF (HCF) of 90 and 465 is 15

How to find the GCF of 90 and 465?

You can find the GCF of 90 and 465 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 90 and 465 is 15.

What prime factors do 90 and 465 share?

The prime factorizations of 90 and 465 have 3 × 5 in common, and multiplying those shared primes gives 15 — exactly the greatest common factor.

How does the GCF reduce the fraction 90/465?

Divide the numerator and the denominator by the GCF 15: 90 ÷ 15 = 6 and 465 ÷ 15 = 31. So 90/465 in lowest terms is 6/31.