GCF (HCF) of 90 and 400

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 90 and 400?

Answer

GCF (HCF) of 90 and 400 is

Common factors: 1, 2, 5, 10

10 divides both: 90 ÷ 10 = 9, 400 ÷ 10 = 40 — and 9 and 40 share no factor but 1, so no larger number divides both.

90 = 2 × 3² × 5

400 = 2⁴ × 5²

Prime	90	400	Lowest power
2	2	2⁴	2
3	3²	—	—
5	5	5²	5

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

GCF = 2 × 5 = 10

More with these numbers

Related Calculations

GCF Table

Number 1	Number 2	GCF
90	265	5
90	270	90
90	275	5
90	290	10
90	295	5
90	305	5
90	310	10
90	315	45
90	320	10
90	330	30
90	335	5
90	350	10
90	360	90
90	365	5
90	370	10
90	375	15
90	385	5
90	395	5
90	400	10
90	405	45
90	410	10
90	425	5
90	440	10
90	455	5
90	460	10
90	465	15
90	480	30
90	485	5
90	495	45
90	500	10

FAQ

What is the Greatest Common Divisor of 90 and 400?

GCF (HCF) of 90 and 400 is 10

How to find the GCF of 90 and 400?

You can find the GCF of 90 and 400 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 90 and 400 is 10.

What prime factors do 90 and 400 share?

The prime factorizations of 90 and 400 have 2 × 5 in common, and multiplying those shared primes gives 10 — exactly the greatest common factor.

How does the GCF reduce the fraction 90/400?

Divide the numerator and the denominator by the GCF 10: 90 ÷ 10 = 9 and 400 ÷ 10 = 40. So 90/400 in lowest terms is 9/40.

GCF (HCF) of 90 and 400

What is the Greatest Common Divisor of 90 and 400?

More with these numbers

Related Calculations

See Also

GCF Table

FAQ

What is the Greatest Common Divisor of 90 and 400?

How to find the GCF of 90 and 400?

What prime factors do 90 and 400 share?

How does the GCF reduce the fraction 90/400?

See Also

Number 1	Number 2	GCF
90	265	5
90	270	90
90	275	5
90	290	10
90	295	5
90	305	5
90	310	10
90	315	45
90	320	10
90	330	30
90	335	5
90	350	10
90	360	90
90	365	5
90	370	10
90	375	15
90	385	5
90	395	5
90	400	10
90	405	45
90	410	10
90	425	5
90	440	10
90	455	5
90	460	10
90	465	15
90	480	30
90	485	5
90	495	45
90	500	10

Number 1	Number 2	GCF
90	265	5
90	270	90
90	275	5
90	290	10
90	295	5
90	305	5
90	310	10
90	315	45
90	320	10
90	330	30
90	335	5
90	350	10
90	360	90
90	365	5
90	370	10
90	375	15
90	385	5
90	395	5
90	400	10
90	405	45
90	410	10
90	425	5
90	440	10
90	455	5
90	460	10
90	465	15
90	480	30
90	485	5
90	495	45
90	500	10

Number 1	Number 2	GCF
90	265	5
90	270	90
90	275	5
90	290	10
90	295	5
90	305	5
90	310	10
90	315	45
90	320	10
90	330	30
90	335	5
90	350	10
90	360	90
90	365	5
90	370	10
90	375	15
90	385	5
90	395	5
90	400	10
90	405	45
90	410	10
90	425	5
90	440	10
90	455	5
90	460	10
90	465	15
90	480	30
90	485	5
90	495	45
90	500	10