GCF (HCF) of 80 and 300

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 80 and 300?

Answer

GCF (HCF) of 80 and 300 is

Common factors: 1, 2, 4, 5, 10, 20

20 divides both: 80 ÷ 20 = 4, 300 ÷ 20 = 15 — and 4 and 15 share no factor but 1, so no larger number divides both.

80 = 2⁴ × 5

300 = 2² × 3 × 5²

Prime	80	300	Lowest power
2	2⁴	2²	2²
3	—	3	—
5	5	5²	5

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

GCF = 2² × 5 = 20

More with these numbers

Related Calculations

GCF Table

Number 1	Number 2	GCF
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
80	470	10
80	490	10
80	495	5

FAQ

What is the Greatest Common Divisor of 80 and 300?

GCF (HCF) of 80 and 300 is 20

How to find the GCF of 80 and 300?

You can find the GCF of 80 and 300 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 80 and 300 is 20.

What prime factors do 80 and 300 share?

The prime factorizations of 80 and 300 have 2 × 2 × 5 in common, and multiplying those shared primes gives 20 — exactly the greatest common factor.

How does the GCF reduce the fraction 80/300?

Divide the numerator and the denominator by the GCF 20: 80 ÷ 20 = 4 and 300 ÷ 20 = 15. So 80/300 in lowest terms is 4/15.

GCF (HCF) of 80 and 300

What is the Greatest Common Divisor of 80 and 300?

More with these numbers

Related Calculations

See Also

GCF Table

FAQ

What is the Greatest Common Divisor of 80 and 300?

How to find the GCF of 80 and 300?

What prime factors do 80 and 300 share?

How does the GCF reduce the fraction 80/300?

See Also

Number 1	Number 2	GCF
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
80	470	10
80	490	10
80	495	5

Number 1	Number 2	GCF
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
80	470	10
80	490	10
80	495	5

Number 1	Number 2	GCF
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
80	470	10
80	490	10
80	495	5