GCF (HCF) of 90 and 120

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 90 and 120?

Answer

GCF (HCF) of 90 and 120 is

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

30 divides both: 90 ÷ 30 = 3, 120 ÷ 30 = 4 — and 3 and 4 share no factor but 1, so no larger number divides both.

90 = 2 × 3² × 5

120 = 2³ × 3 × 5

Prime	90	120	Lowest power
2	2	2³	2
3	3²	3	3
5	5	5	5

GCF = 2 × 3 × 5 = 30

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Related Calculations

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 120?

GCF (HCF) of 90 and 120 is 30

How to find the GCF of 90 and 120?

You can find the GCF of 90 and 120 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 90 and 120 is 30.

What prime factors do 90 and 120 share?

The prime factorizations of 90 and 120 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 90/120?

Divide the numerator and the denominator by the GCF 30: 90 ÷ 30 = 3 and 120 ÷ 30 = 4. So 90/120 in lowest terms is 3/4.

GCF (HCF) of 90 and 120

What is the Greatest Common Divisor of 90 and 120?

More with these numbers

Related Calculations

See Also

GCF Table

FAQ

What is the Greatest Common Divisor of 90 and 120?

How to find the GCF of 90 and 120?

What prime factors do 90 and 120 share?

How does the GCF reduce the fraction 90/120?

See Also

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

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

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