GCF (HCF) of 112 and 144

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 112 and 144?

Answer

GCF (HCF) of 112 and 144 is

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

16 divides both: 112 ÷ 16 = 7, 144 ÷ 16 = 9 — and 7 and 9 share no factor but 1, so no larger number divides both.

112 = 2⁴ × 7

144 = 2⁴ × 3²

Prime	112	144	Lowest power
2	2⁴	2⁴	2⁴
3	—	3²	—
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	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
112	143	1
112	144	16
112	145	1
112	146	2
112	147	7
112	148	4
112	149	1
112	150	2
112	151	1
112	152	8
112	153	1
112	154	14
112	155	1
112	156	4
112	157	1
112	158	2

FAQ

What is the Greatest Common Divisor of 112 and 144?

GCF (HCF) of 112 and 144 is 16

How to find the GCF of 112 and 144?

You can find the GCF of 112 and 144 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 112 and 144 is 16.

What prime factors do 112 and 144 share?

The prime factorizations of 112 and 144 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 112/144?

Divide the numerator and the denominator by the GCF 16: 112 ÷ 16 = 7 and 144 ÷ 16 = 9. So 112/144 in lowest terms is 7/9.

GCF (HCF) of 112 and 144

What is the Greatest Common Divisor of 112 and 144?

More with these numbers

Related Calculations

See Also

GCF Table

FAQ

What is the Greatest Common Divisor of 112 and 144?

How to find the GCF of 112 and 144?

What prime factors do 112 and 144 share?

How does the GCF reduce the fraction 112/144?

See Also

Number 1	Number 2	GCF
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
112	143	1
112	144	16
112	145	1
112	146	2
112	147	7
112	148	4
112	149	1
112	150	2
112	151	1
112	152	8
112	153	1
112	154	14
112	155	1
112	156	4
112	157	1
112	158	2

Number 1	Number 2	GCF
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
112	143	1
112	144	16
112	145	1
112	146	2
112	147	7
112	148	4
112	149	1
112	150	2
112	151	1
112	152	8
112	153	1
112	154	14
112	155	1
112	156	4
112	157	1
112	158	2

Number 1	Number 2	GCF
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
112	143	1
112	144	16
112	145	1
112	146	2
112	147	7
112	148	4
112	149	1
112	150	2
112	151	1
112	152	8
112	153	1
112	154	14
112	155	1
112	156	4
112	157	1
112	158	2