GCF (HCF) of 78 and 144

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 78 and 144?

Answer

GCF (HCF) of 78 and 144 is

Common factors: 1, 2, 3, 6

6 divides both: 78 ÷ 6 = 13, 144 ÷ 6 = 24 — and 13 and 24 share no factor but 1, so no larger number divides both.

78 = 2 × 3 × 13

144 = 2⁴ × 3²

Prime	78	144	Lowest power
2	2	2⁴	2
3	3	3²	3
13	13	—	—

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

GCF = 2 × 3 = 6

More with these numbers

Related Calculations

GCF Table

Number 1	Number 2	GCF
78	129	3
78	130	26
78	131	1
78	132	6
78	133	1
78	134	2
78	135	3
78	136	2
78	137	1
78	138	6
78	139	1
78	140	2
78	141	3
78	142	2
78	143	13
78	144	6
78	145	1
78	146	2
78	147	3
78	148	2
78	149	1
78	150	6
78	151	1
78	152	2
78	153	3
78	154	2
78	155	1
78	156	78
78	157	1
78	158	2

FAQ

What is the Greatest Common Divisor of 78 and 144?

GCF (HCF) of 78 and 144 is 6

How to find the GCF of 78 and 144?

You can find the GCF of 78 and 144 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 78 and 144 is 6.

What prime factors do 78 and 144 share?

The prime factorizations of 78 and 144 have 2 × 3 in common, and multiplying those shared primes gives 6 — exactly the greatest common factor.

How does the GCF reduce the fraction 78/144?

Divide the numerator and the denominator by the GCF 6: 78 ÷ 6 = 13 and 144 ÷ 6 = 24. So 78/144 in lowest terms is 13/24.

GCF (HCF) of 78 and 144

What is the Greatest Common Divisor of 78 and 144?

More with these numbers

Related Calculations

See Also

GCF Table

FAQ

What is the Greatest Common Divisor of 78 and 144?

How to find the GCF of 78 and 144?

What prime factors do 78 and 144 share?

How does the GCF reduce the fraction 78/144?

See Also

Number 1	Number 2	GCF
78	129	3
78	130	26
78	131	1
78	132	6
78	133	1
78	134	2
78	135	3
78	136	2
78	137	1
78	138	6
78	139	1
78	140	2
78	141	3
78	142	2
78	143	13
78	144	6
78	145	1
78	146	2
78	147	3
78	148	2
78	149	1
78	150	6
78	151	1
78	152	2
78	153	3
78	154	2
78	155	1
78	156	78
78	157	1
78	158	2

Number 1	Number 2	GCF
78	129	3
78	130	26
78	131	1
78	132	6
78	133	1
78	134	2
78	135	3
78	136	2
78	137	1
78	138	6
78	139	1
78	140	2
78	141	3
78	142	2
78	143	13
78	144	6
78	145	1
78	146	2
78	147	3
78	148	2
78	149	1
78	150	6
78	151	1
78	152	2
78	153	3
78	154	2
78	155	1
78	156	78
78	157	1
78	158	2

Number 1	Number 2	GCF
78	129	3
78	130	26
78	131	1
78	132	6
78	133	1
78	134	2
78	135	3
78	136	2
78	137	1
78	138	6
78	139	1
78	140	2
78	141	3
78	142	2
78	143	13
78	144	6
78	145	1
78	146	2
78	147	3
78	148	2
78	149	1
78	150	6
78	151	1
78	152	2
78	153	3
78	154	2
78	155	1
78	156	78
78	157	1
78	158	2