GCF (HCF) of 112 and 168

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 112 and 168?

Answer

GCF (HCF) of 112 and 168 is

Common factors: 1, 2, 4, 7, 8, 14, 28, 56

56 divides both: 112 ÷ 56 = 2, 168 ÷ 56 = 3 — and 2 and 3 share no factor but 1, so no larger number divides both.

112 = 2⁴ × 7

168 = 2³ × 3 × 7

Prime	112	168	Lowest power
2	2⁴	2³	2³
3	—	3	—
7	7	7	7

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

GCF = 2³ × 7 = 56

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Related Calculations

GCF Table

Number 1	Number 2	GCF
112	153	1
112	154	14
112	155	1
112	156	4
112	157	1
112	158	2
112	159	1
112	160	16
112	161	7
112	162	2
112	163	1
112	164	4
112	165	1
112	166	2
112	167	1
112	168	56
112	169	1
112	170	2
112	171	1
112	172	4
112	173	1
112	174	2
112	175	7
112	176	16
112	177	1
112	178	2
112	179	1
112	180	4
112	181	1
112	182	14

FAQ

What is the Greatest Common Divisor of 112 and 168?

GCF (HCF) of 112 and 168 is 56

How to find the GCF of 112 and 168?

You can find the GCF of 112 and 168 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 112 and 168 is 56.

What prime factors do 112 and 168 share?

The prime factorizations of 112 and 168 have 2 × 2 × 2 × 7 in common, and multiplying those shared primes gives 56 — exactly the greatest common factor.

How does the GCF reduce the fraction 112/168?

Divide the numerator and the denominator by the GCF 56: 112 ÷ 56 = 2 and 168 ÷ 56 = 3. So 112/168 in lowest terms is 2/3.

GCF (HCF) of 112 and 168

What is the Greatest Common Divisor of 112 and 168?

More with these numbers

Related Calculations

See Also

GCF Table

FAQ

What is the Greatest Common Divisor of 112 and 168?

How to find the GCF of 112 and 168?

What prime factors do 112 and 168 share?

How does the GCF reduce the fraction 112/168?

See Also

Number 1	Number 2	GCF
112	153	1
112	154	14
112	155	1
112	156	4
112	157	1
112	158	2
112	159	1
112	160	16
112	161	7
112	162	2
112	163	1
112	164	4
112	165	1
112	166	2
112	167	1
112	168	56
112	169	1
112	170	2
112	171	1
112	172	4
112	173	1
112	174	2
112	175	7
112	176	16
112	177	1
112	178	2
112	179	1
112	180	4
112	181	1
112	182	14

Number 1	Number 2	GCF
112	153	1
112	154	14
112	155	1
112	156	4
112	157	1
112	158	2
112	159	1
112	160	16
112	161	7
112	162	2
112	163	1
112	164	4
112	165	1
112	166	2
112	167	1
112	168	56
112	169	1
112	170	2
112	171	1
112	172	4
112	173	1
112	174	2
112	175	7
112	176	16
112	177	1
112	178	2
112	179	1
112	180	4
112	181	1
112	182	14

Number 1	Number 2	GCF
112	153	1
112	154	14
112	155	1
112	156	4
112	157	1
112	158	2
112	159	1
112	160	16
112	161	7
112	162	2
112	163	1
112	164	4
112	165	1
112	166	2
112	167	1
112	168	56
112	169	1
112	170	2
112	171	1
112	172	4
112	173	1
112	174	2
112	175	7
112	176	16
112	177	1
112	178	2
112	179	1
112	180	4
112	181	1
112	182	14