GCF (HCF) of 90 and 360

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 90 and 360?

Answer

GCF (HCF) of 90 and 360 is

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

90 divides 360 (360 ÷ 90 = 4), so the GCF is the smaller number itself.

90 = 2 × 3² × 5

360 = 2³ × 3² × 5

Prime	90	360	Lowest power
2	2	2³	2
3	3²	3²	3²
5	5	5	5

GCF = 2 × 3² × 5 = 90

More with these numbers

Related Calculations

GCF Table

Number 1	Number 2	GCF
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
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

FAQ

What is the Greatest Common Divisor of 90 and 360?

GCF (HCF) of 90 and 360 is 90

How to find the GCF of 90 and 360?

You can find the GCF of 90 and 360 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 90 and 360 is 90.

What prime factors do 90 and 360 share?

The prime factorizations of 90 and 360 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 90/360?

Divide the numerator and the denominator by the GCF 90: 90 ÷ 90 = 1 and 360 ÷ 90 = 4. So 90/360 in lowest terms is 1/4.

GCF (HCF) of 90 and 360

What is the Greatest Common Divisor of 90 and 360?

More with these numbers

Related Calculations

See Also

GCF Table

FAQ

What is the Greatest Common Divisor of 90 and 360?

How to find the GCF of 90 and 360?

What prime factors do 90 and 360 share?

How does the GCF reduce the fraction 90/360?

See Also

Number 1	Number 2	GCF
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
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

Number 1	Number 2	GCF
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
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

Number 1	Number 2	GCF
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
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