GCF (HCF) of 72 and 63

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 72 and 63?

Answer

GCF (HCF) of 72 and 63 is

Common factors: 1, 3, 9

9 divides both: 72 ÷ 9 = 8, 63 ÷ 9 = 7 — and 8 and 7 share no factor but 1, so no larger number divides both.

72 = 2³ × 3²

63 = 3² × 7

Prime	72	63	Lowest power
2	2³	—	—
3	3²	3²	3²
7	—	7	—

— = 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	48	24
72	49	1
72	50	2
72	51	3
72	52	4
72	53	1
72	54	18
72	55	1
72	56	8
72	57	3
72	58	2
72	59	1
72	60	12
72	61	1
72	62	2
72	63	9
72	64	8
72	65	1
72	66	6
72	67	1
72	68	4
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

FAQ

What is the Greatest Common Divisor of 72 and 63?

GCF (HCF) of 72 and 63 is 9

How to find the GCF of 72 and 63?

You can find the GCF of 72 and 63 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 72 and 63 is 9.

What prime factors do 72 and 63 share?

The prime factorizations of 72 and 63 have 3 × 3 in common, and multiplying those shared primes gives 9 — exactly the greatest common factor.

How does the GCF reduce the fraction 72/63?

Divide the numerator and the denominator by the GCF 9: 72 ÷ 9 = 8 and 63 ÷ 9 = 7. So 72/63 in lowest terms is 8/7.

GCF (HCF) of 72 and 63

What is the Greatest Common Divisor of 72 and 63?

More with these numbers

Related Calculations

See Also

GCF Table

FAQ

What is the Greatest Common Divisor of 72 and 63?

How to find the GCF of 72 and 63?

What prime factors do 72 and 63 share?

How does the GCF reduce the fraction 72/63?

See Also

Number 1	Number 2	GCF
72	48	24
72	49	1
72	50	2
72	51	3
72	52	4
72	53	1
72	54	18
72	55	1
72	56	8
72	57	3
72	58	2
72	59	1
72	60	12
72	61	1
72	62	2
72	63	9
72	64	8
72	65	1
72	66	6
72	67	1
72	68	4
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

Number 1	Number 2	GCF
72	48	24
72	49	1
72	50	2
72	51	3
72	52	4
72	53	1
72	54	18
72	55	1
72	56	8
72	57	3
72	58	2
72	59	1
72	60	12
72	61	1
72	62	2
72	63	9
72	64	8
72	65	1
72	66	6
72	67	1
72	68	4
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

Number 1	Number 2	GCF
72	48	24
72	49	1
72	50	2
72	51	3
72	52	4
72	53	1
72	54	18
72	55	1
72	56	8
72	57	3
72	58	2
72	59	1
72	60	12
72	61	1
72	62	2
72	63	9
72	64	8
72	65	1
72	66	6
72	67	1
72	68	4
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