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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

6

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

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See Also

Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers
Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers

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What is the GCF (HCF) of 78 and 144. The GCF of 78 and 144 is 6 — the biggest number that can divide both integers. Step-by-step GCF (GCD) calculation by factoring.

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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.