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

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

More with these numbers

Related Calculations

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.

GCF (HCF) of 78 and 130

What is the Greatest Common Divisor of 78 and 130?

More with these numbers

Related Calculations

See Also

GCF Table

FAQ

What is the Greatest Common Divisor of 78 and 130?

How to find the GCF of 78 and 130?

What prime factors do 78 and 130 share?

How does the GCF reduce the fraction 78/130?

See Also

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

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

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