GCF (HCF) of 72 and 84

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 72 and 84?

Answer

GCF (HCF) of 72 and 84 is

Common factors: 1, 2, 3, 4, 6, 12

12 divides both: 72 ÷ 12 = 6, 84 ÷ 12 = 7 — and 6 and 7 share no factor but 1, so no larger number divides both.

72 = 2³ × 3²

84 = 2² × 3 × 7

Prime	72	84	Lowest power
2	2³	2²	2²
3	3²	3	3
7	—	7	—

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

GCF = 2² × 3 = 12

More with these numbers

Related Calculations

GCF Table

Number 1	Number 2	GCF
72	69	3
72	70	2
72	71	1
72	72	72
72	73	1
72	74	2
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

FAQ

What is the Greatest Common Divisor of 72 and 84?

GCF (HCF) of 72 and 84 is 12

How to find the GCF of 72 and 84?

You can find the GCF of 72 and 84 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 72 and 84 is 12.

What prime factors do 72 and 84 share?

The prime factorizations of 72 and 84 have 2 × 2 × 3 in common, and multiplying those shared primes gives 12 — exactly the greatest common factor.

How does the GCF reduce the fraction 72/84?

Divide the numerator and the denominator by the GCF 12: 72 ÷ 12 = 6 and 84 ÷ 12 = 7. So 72/84 in lowest terms is 6/7.

GCF (HCF) of 72 and 84

What is the Greatest Common Divisor of 72 and 84?

More with these numbers

Related Calculations

See Also

GCF Table

FAQ

What is the Greatest Common Divisor of 72 and 84?

How to find the GCF of 72 and 84?

What prime factors do 72 and 84 share?

How does the GCF reduce the fraction 72/84?

See Also

Number 1	Number 2	GCF
72	69	3
72	70	2
72	71	1
72	72	72
72	73	1
72	74	2
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

Number 1	Number 2	GCF
72	69	3
72	70	2
72	71	1
72	72	72
72	73	1
72	74	2
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

Number 1	Number 2	GCF
72	69	3
72	70	2
72	71	1
72	72	72
72	73	1
72	74	2
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