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GCF (HCF) of 78 and 130

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 78 and 130?

Answer

GCF (HCF) of 78 and 130 is

26

Common factors: 1, 2, 13, 26

26 divides both: 78 ÷ 26 = 3, 130 ÷ 26 = 5 — and 3 and 5 share no factor but 1, so no larger number divides both.

78 = 2 × 3 × 13

130 = 2 × 5 × 13

Prime	78	130	Lowest power
2	2	2	2
3	3	—	—
5	—	5	—
13	13	13	13

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

GCF = 2 × 13 = 26

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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 130. The GCF of 78 and 130 is 26 — 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	115	1
78	116	2
78	117	39
78	118	2
78	119	1
78	120	6
78	121	1
78	122	2
78	123	3
78	124	2
78	125	1
78	126	6
78	127	1
78	128	2
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

FAQ

What is the Greatest Common Divisor of 78 and 130?

GCF (HCF) of 78 and 130 is 26

How to find the GCF of 78 and 130?

You can find the GCF of 78 and 130 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 78 and 130 is 26.

What prime factors do 78 and 130 share?

The prime factorizations of 78 and 130 have 2 × 13 in common, and multiplying those shared primes gives 26 — exactly the greatest common factor.

How does the GCF reduce the fraction 78/130?

Divide the numerator and the denominator by the GCF 26: 78 ÷ 26 = 3 and 130 ÷ 26 = 5. So 78/130 in lowest terms is 3/5.