GCF (HCF) of 16 and 112

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 16 and 112?

Answer

GCF (HCF) of 16 and 112 is

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

16 divides 112 (112 ÷ 16 = 7), so the GCF is the smaller number itself.

16 = 2⁴

112 = 2⁴ × 7

Prime	16	112	Lowest power
2	2⁴	2⁴	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
16	36	4
16	38	2
16	39	1
16	40	8
16	42	2
16	43	1
16	44	4
16	45	1
16	46	2
16	48	16
16	49	1
16	50	2
16	53	1
16	54	2
16	55	1
16	56	8
16	58	2
16	60	4
16	64	16
16	72	8
16	80	16
16	81	1
16	84	4
16	90	2
16	96	16
16	100	4
16	112	16
16	120	8
16	121	1
16	128	16

FAQ

What is the Greatest Common Divisor of 16 and 112?

GCF (HCF) of 16 and 112 is 16

How to find the GCF of 16 and 112?

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

What prime factors do 16 and 112 share?

The prime factorizations of 16 and 112 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 16/112?

Divide the numerator and the denominator by the GCF 16: 16 ÷ 16 = 1 and 112 ÷ 16 = 7. So 16/112 in lowest terms is 1/7.

GCF (HCF) of 16 and 112

What is the Greatest Common Divisor of 16 and 112?

More with these numbers

Related Calculations

See Also

GCF Table

FAQ

What is the Greatest Common Divisor of 16 and 112?

How to find the GCF of 16 and 112?

What prime factors do 16 and 112 share?

How does the GCF reduce the fraction 16/112?

See Also

Number 1	Number 2	GCF
16	36	4
16	38	2
16	39	1
16	40	8
16	42	2
16	43	1
16	44	4
16	45	1
16	46	2
16	48	16
16	49	1
16	50	2
16	53	1
16	54	2
16	55	1
16	56	8
16	58	2
16	60	4
16	64	16
16	72	8
16	80	16
16	81	1
16	84	4
16	90	2
16	96	16
16	100	4
16	112	16
16	120	8
16	121	1
16	128	16

Number 1	Number 2	GCF
16	36	4
16	38	2
16	39	1
16	40	8
16	42	2
16	43	1
16	44	4
16	45	1
16	46	2
16	48	16
16	49	1
16	50	2
16	53	1
16	54	2
16	55	1
16	56	8
16	58	2
16	60	4
16	64	16
16	72	8
16	80	16
16	81	1
16	84	4
16	90	2
16	96	16
16	100	4
16	112	16
16	120	8
16	121	1
16	128	16

Number 1	Number 2	GCF
16	36	4
16	38	2
16	39	1
16	40	8
16	42	2
16	43	1
16	44	4
16	45	1
16	46	2
16	48	16
16	49	1
16	50	2
16	53	1
16	54	2
16	55	1
16	56	8
16	58	2
16	60	4
16	64	16
16	72	8
16	80	16
16	81	1
16	84	4
16	90	2
16	96	16
16	100	4
16	112	16
16	120	8
16	121	1
16	128	16