GCF (HCF) of 112 and 128

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 112 and 128?

Answer

GCF (HCF) of 112 and 128 is

Common factors: 1, 2, 4, 8, 16

16 divides both: 112 ÷ 16 = 7, 128 ÷ 16 = 8 — and 7 and 8 share no factor but 1, so no larger number divides both.

112 = 2⁴ × 7

128 = 2⁷

Prime	112	128	Lowest power
2	2⁴	2⁷	2⁴
7	7	—	—

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

GCF = 2⁴ = 16

More with these numbers

Related Calculations

GCF Table

Number 1	Number 2	GCF
112	113	1
112	114	2
112	115	1
112	116	4
112	117	1
112	118	2
112	119	7
112	120	8
112	121	1
112	122	2
112	123	1
112	124	4
112	125	1
112	126	14
112	127	1
112	128	16
112	129	1
112	130	2
112	131	1
112	132	4
112	133	7
112	134	2
112	135	1
112	136	8
112	137	1
112	138	2
112	139	1
112	140	28
112	141	1
112	142	2

FAQ

What is the Greatest Common Divisor of 112 and 128?

GCF (HCF) of 112 and 128 is 16

How to find the GCF of 112 and 128?

You can find the GCF of 112 and 128 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 112 and 128 is 16.

What prime factors do 112 and 128 share?

The prime factorizations of 112 and 128 have 2 × 2 × 2 × 2 in common, and multiplying those shared primes gives 16 — exactly the greatest common factor.

How does the GCF reduce the fraction 112/128?

Divide the numerator and the denominator by the GCF 16: 112 ÷ 16 = 7 and 128 ÷ 16 = 8. So 112/128 in lowest terms is 7/8.

GCF (HCF) of 112 and 128

What is the Greatest Common Divisor of 112 and 128?

More with these numbers

Related Calculations

See Also

GCF Table

FAQ

What is the Greatest Common Divisor of 112 and 128?

How to find the GCF of 112 and 128?

What prime factors do 112 and 128 share?

How does the GCF reduce the fraction 112/128?

See Also

Number 1	Number 2	GCF
112	113	1
112	114	2
112	115	1
112	116	4
112	117	1
112	118	2
112	119	7
112	120	8
112	121	1
112	122	2
112	123	1
112	124	4
112	125	1
112	126	14
112	127	1
112	128	16
112	129	1
112	130	2
112	131	1
112	132	4
112	133	7
112	134	2
112	135	1
112	136	8
112	137	1
112	138	2
112	139	1
112	140	28
112	141	1
112	142	2

Number 1	Number 2	GCF
112	113	1
112	114	2
112	115	1
112	116	4
112	117	1
112	118	2
112	119	7
112	120	8
112	121	1
112	122	2
112	123	1
112	124	4
112	125	1
112	126	14
112	127	1
112	128	16
112	129	1
112	130	2
112	131	1
112	132	4
112	133	7
112	134	2
112	135	1
112	136	8
112	137	1
112	138	2
112	139	1
112	140	28
112	141	1
112	142	2

Number 1	Number 2	GCF
112	113	1
112	114	2
112	115	1
112	116	4
112	117	1
112	118	2
112	119	7
112	120	8
112	121	1
112	122	2
112	123	1
112	124	4
112	125	1
112	126	14
112	127	1
112	128	16
112	129	1
112	130	2
112	131	1
112	132	4
112	133	7
112	134	2
112	135	1
112	136	8
112	137	1
112	138	2
112	139	1
112	140	28
112	141	1
112	142	2