GCF (HCF) of 90 and 315

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 90 and 315?

Answer

GCF (HCF) of 90 and 315 is

Common factors: 1, 3, 5, 9, 15, 45

45 divides both: 90 ÷ 45 = 2, 315 ÷ 45 = 7 — and 2 and 7 share no factor but 1, so no larger number divides both.

90 = 2 × 3² × 5

315 = 3² × 5 × 7

Prime	90	315	Lowest power
2	2	—	—
3	3²	3²	3²
5	5	5	5
7	—	7	—

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

GCF = 3² × 5 = 45

More with these numbers

Related Calculations

GCF Table

Number 1	Number 2	GCF
90	185	5
90	200	10
90	210	30
90	220	10
90	235	5
90	245	5
90	250	10
90	255	15
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

FAQ

What is the Greatest Common Divisor of 90 and 315?

GCF (HCF) of 90 and 315 is 45

How to find the GCF of 90 and 315?

You can find the GCF of 90 and 315 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 90 and 315 is 45.

What prime factors do 90 and 315 share?

The prime factorizations of 90 and 315 have 3 × 3 × 5 in common, and multiplying those shared primes gives 45 — exactly the greatest common factor.

How does the GCF reduce the fraction 90/315?

Divide the numerator and the denominator by the GCF 45: 90 ÷ 45 = 2 and 315 ÷ 45 = 7. So 90/315 in lowest terms is 2/7.

GCF (HCF) of 90 and 315

What is the Greatest Common Divisor of 90 and 315?

More with these numbers

Related Calculations

See Also

GCF Table

FAQ

What is the Greatest Common Divisor of 90 and 315?

How to find the GCF of 90 and 315?

What prime factors do 90 and 315 share?

How does the GCF reduce the fraction 90/315?

See Also

Number 1	Number 2	GCF
90	185	5
90	200	10
90	210	30
90	220	10
90	235	5
90	245	5
90	250	10
90	255	15
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

Number 1	Number 2	GCF
90	185	5
90	200	10
90	210	30
90	220	10
90	235	5
90	245	5
90	250	10
90	255	15
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

Number 1	Number 2	GCF
90	185	5
90	200	10
90	210	30
90	220	10
90	235	5
90	245	5
90	250	10
90	255	15
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