GCF (HCF) of 80 and 112

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 80 and 112?

Answer

GCF (HCF) of 80 and 112 is

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

16 divides both: 80 ÷ 16 = 5, 112 ÷ 16 = 7 — and 5 and 7 share no factor but 1, so no larger number divides both.

80 = 2⁴ × 5

112 = 2⁴ × 7

Prime	80	112	Lowest power
2	2⁴	2⁴	2⁴
5	5	—	—
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
80	20	20
80	84	4
80	90	10
80	96	16
80	100	20
80	110	10
80	112	16
80	115	5
80	120	40
80	125	5
80	140	20
80	144	16
80	155	5
80	165	5
80	180	20
80	185	5
80	190	10
80	200	40
80	215	5
80	225	5
80	265	5
80	275	5
80	285	5
80	300	20
80	310	10
80	325	5
80	355	5
80	360	40
80	440	40
80	455	5

FAQ

What is the Greatest Common Divisor of 80 and 112?

GCF (HCF) of 80 and 112 is 16

How to find the GCF of 80 and 112?

You can find the GCF of 80 and 112 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 80 and 112 is 16.

What prime factors do 80 and 112 share?

The prime factorizations of 80 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 80/112?

Divide the numerator and the denominator by the GCF 16: 80 ÷ 16 = 5 and 112 ÷ 16 = 7. So 80/112 in lowest terms is 5/7.

GCF (HCF) of 80 and 112

What is the Greatest Common Divisor of 80 and 112?

More with these numbers

Related Calculations

See Also

GCF Table

FAQ

What is the Greatest Common Divisor of 80 and 112?

How to find the GCF of 80 and 112?

What prime factors do 80 and 112 share?

How does the GCF reduce the fraction 80/112?

See Also

Number 1	Number 2	GCF
80	20	20
80	84	4
80	90	10
80	96	16
80	100	20
80	110	10
80	112	16
80	115	5
80	120	40
80	125	5
80	140	20
80	144	16
80	155	5
80	165	5
80	180	20
80	185	5
80	190	10
80	200	40
80	215	5
80	225	5
80	265	5
80	275	5
80	285	5
80	300	20
80	310	10
80	325	5
80	355	5
80	360	40
80	440	40
80	455	5

Number 1	Number 2	GCF
80	20	20
80	84	4
80	90	10
80	96	16
80	100	20
80	110	10
80	112	16
80	115	5
80	120	40
80	125	5
80	140	20
80	144	16
80	155	5
80	165	5
80	180	20
80	185	5
80	190	10
80	200	40
80	215	5
80	225	5
80	265	5
80	275	5
80	285	5
80	300	20
80	310	10
80	325	5
80	355	5
80	360	40
80	440	40
80	455	5

Number 1	Number 2	GCF
80	20	20
80	84	4
80	90	10
80	96	16
80	100	20
80	110	10
80	112	16
80	115	5
80	120	40
80	125	5
80	140	20
80	144	16
80	155	5
80	165	5
80	180	20
80	185	5
80	190	10
80	200	40
80	215	5
80	225	5
80	265	5
80	275	5
80	285	5
80	300	20
80	310	10
80	325	5
80	355	5
80	360	40
80	440	40
80	455	5