GCF (HCF) of 72 and 99

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 72 and 99?

Answer

GCF (HCF) of 72 and 99 is

Common factors: 1, 3, 9

9 divides both: 72 ÷ 9 = 8, 99 ÷ 9 = 11 — and 8 and 11 share no factor but 1, so no larger number divides both.

72 = 2³ × 3²

99 = 3² × 11

Prime	72	99	Lowest power
2	2³	—	—
3	3²	3²	3²
11	—	11	—

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

GCF = 3² = 9

More with these numbers

Related Calculations

GCF Table

Number 1	Number 2	GCF
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
72	105	3
72	106	2
72	107	1
72	108	36
72	109	1
72	110	2
72	111	3
72	112	8
72	113	1

FAQ

What is the Greatest Common Divisor of 72 and 99?

GCF (HCF) of 72 and 99 is 9

How to find the GCF of 72 and 99?

You can find the GCF of 72 and 99 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 72 and 99 is 9.

What prime factors do 72 and 99 share?

The prime factorizations of 72 and 99 have 3 × 3 in common, and multiplying those shared primes gives 9 — exactly the greatest common factor.

How does the GCF reduce the fraction 72/99?

Divide the numerator and the denominator by the GCF 9: 72 ÷ 9 = 8 and 99 ÷ 9 = 11. So 72/99 in lowest terms is 8/11.

GCF (HCF) of 72 and 99

What is the Greatest Common Divisor of 72 and 99?

More with these numbers

Related Calculations

See Also

GCF Table

FAQ

What is the Greatest Common Divisor of 72 and 99?

How to find the GCF of 72 and 99?

What prime factors do 72 and 99 share?

How does the GCF reduce the fraction 72/99?

See Also

Number 1	Number 2	GCF
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
72	105	3
72	106	2
72	107	1
72	108	36
72	109	1
72	110	2
72	111	3
72	112	8
72	113	1

Number 1	Number 2	GCF
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
72	105	3
72	106	2
72	107	1
72	108	36
72	109	1
72	110	2
72	111	3
72	112	8
72	113	1

Number 1	Number 2	GCF
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
72	105	3
72	106	2
72	107	1
72	108	36
72	109	1
72	110	2
72	111	3
72	112	8
72	113	1