GCF (HCF) of 72 and 90

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 72 and 90?

Answer

GCF (HCF) of 72 and 90 is

Common factors: 1, 2, 3, 6, 9, 18

18 divides both: 72 ÷ 18 = 4, 90 ÷ 18 = 5 — and 4 and 5 share no factor but 1, so no larger number divides both.

72 = 2³ × 3²

90 = 2 × 3² × 5

Prime	72	90	Lowest power
2	2³	2	2
3	3²	3²	3²
5	—	5	—

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

GCF = 2 × 3² = 18

More with these numbers

Related Calculations

GCF Table

Number 1	Number 2	GCF
72	75	3
72	76	4
72	77	1
72	78	6
72	79	1
72	80	8
72	81	9
72	82	2
72	83	1
72	84	12
72	85	1
72	86	2
72	87	3
72	88	8
72	89	1
72	90	18
72	91	1
72	92	4
72	93	3
72	94	2
72	95	1
72	96	24
72	97	1
72	98	2
72	99	9
72	100	4
72	101	1
72	102	6
72	103	1
72	104	8

FAQ

What is the Greatest Common Divisor of 72 and 90?

GCF (HCF) of 72 and 90 is 18

How to find the GCF of 72 and 90?

You can find the GCF of 72 and 90 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 72 and 90 is 18.

What prime factors do 72 and 90 share?

The prime factorizations of 72 and 90 have 2 × 3 × 3 in common, and multiplying those shared primes gives 18 — exactly the greatest common factor.

How does the GCF reduce the fraction 72/90?

Divide the numerator and the denominator by the GCF 18: 72 ÷ 18 = 4 and 90 ÷ 18 = 5. So 72/90 in lowest terms is 4/5.

GCF (HCF) of 72 and 90

What is the Greatest Common Divisor of 72 and 90?

More with these numbers

Related Calculations

See Also

GCF Table

FAQ

What is the Greatest Common Divisor of 72 and 90?

How to find the GCF of 72 and 90?

What prime factors do 72 and 90 share?

How does the GCF reduce the fraction 72/90?

See Also

Number 1	Number 2	GCF
72	75	3
72	76	4
72	77	1
72	78	6
72	79	1
72	80	8
72	81	9
72	82	2
72	83	1
72	84	12
72	85	1
72	86	2
72	87	3
72	88	8
72	89	1
72	90	18
72	91	1
72	92	4
72	93	3
72	94	2
72	95	1
72	96	24
72	97	1
72	98	2
72	99	9
72	100	4
72	101	1
72	102	6
72	103	1
72	104	8

Number 1	Number 2	GCF
72	75	3
72	76	4
72	77	1
72	78	6
72	79	1
72	80	8
72	81	9
72	82	2
72	83	1
72	84	12
72	85	1
72	86	2
72	87	3
72	88	8
72	89	1
72	90	18
72	91	1
72	92	4
72	93	3
72	94	2
72	95	1
72	96	24
72	97	1
72	98	2
72	99	9
72	100	4
72	101	1
72	102	6
72	103	1
72	104	8

Number 1	Number 2	GCF
72	75	3
72	76	4
72	77	1
72	78	6
72	79	1
72	80	8
72	81	9
72	82	2
72	83	1
72	84	12
72	85	1
72	86	2
72	87	3
72	88	8
72	89	1
72	90	18
72	91	1
72	92	4
72	93	3
72	94	2
72	95	1
72	96	24
72	97	1
72	98	2
72	99	9
72	100	4
72	101	1
72	102	6
72	103	1
72	104	8