GCF (HCF) of 90 and 480

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 90 and 480?

Answer

GCF (HCF) of 90 and 480 is

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

30 divides both: 90 ÷ 30 = 3, 480 ÷ 30 = 16 — and 3 and 16 share no factor but 1, so no larger number divides both.

90 = 2 × 3² × 5

480 = 2⁵ × 3 × 5

Prime	90	480	Lowest power
2	2	2⁵	2
3	3²	3	3
5	5	5	5

GCF = 2 × 3 × 5 = 30

More with these numbers

Related Calculations

GCF Table

Number 1	Number 2	GCF
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
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	465	15
90	480	30
90	485	5
90	495	45
90	500	10

FAQ

What is the Greatest Common Divisor of 90 and 480?

GCF (HCF) of 90 and 480 is 30

How to find the GCF of 90 and 480?

You can find the GCF of 90 and 480 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 90 and 480 is 30.

What prime factors do 90 and 480 share?

The prime factorizations of 90 and 480 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 90/480?

Divide the numerator and the denominator by the GCF 30: 90 ÷ 30 = 3 and 480 ÷ 30 = 16. So 90/480 in lowest terms is 3/16.

GCF (HCF) of 90 and 480

What is the Greatest Common Divisor of 90 and 480?

More with these numbers

Related Calculations

See Also

GCF Table

FAQ

What is the Greatest Common Divisor of 90 and 480?

How to find the GCF of 90 and 480?

What prime factors do 90 and 480 share?

How does the GCF reduce the fraction 90/480?

See Also

Number 1	Number 2	GCF
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
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	465	15
90	480	30
90	485	5
90	495	45
90	500	10

Number 1	Number 2	GCF
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
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	465	15
90	480	30
90	485	5
90	495	45
90	500	10

Number 1	Number 2	GCF
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
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	465	15
90	480	30
90	485	5
90	495	45
90	500	10