GCF (HCF) of 300 and 180

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 300 and 180?

Answer

GCF (HCF) of 300 and 180 is

Common factors: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

60 divides both: 300 ÷ 60 = 5, 180 ÷ 60 = 3 — and 5 and 3 share no factor but 1, so no larger number divides both.

300 = 2² × 3 × 5²

180 = 2² × 3² × 5

Prime	300	180	Lowest power
2	2²	2²	2²
3	3	3²	3
5	5²	5	5

GCF = 2² × 3 × 5 = 60

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Related Calculations

GCF Table

Number 1	Number 2	GCF
300	165	15
300	166	2
300	167	1
300	168	12
300	169	1
300	170	10
300	171	3
300	172	4
300	173	1
300	174	6
300	175	25
300	176	4
300	177	3
300	178	2
300	179	1
300	180	60
300	181	1
300	182	2
300	183	3
300	184	4
300	185	5
300	186	6
300	187	1
300	188	4
300	189	3
300	190	10
300	191	1
300	192	12
300	193	1
300	194	2

FAQ

What is the Greatest Common Divisor of 300 and 180?

GCF (HCF) of 300 and 180 is 60

How to find the GCF of 300 and 180?

You can find the GCF of 300 and 180 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 300 and 180 is 60.

What prime factors do 300 and 180 share?

The prime factorizations of 300 and 180 have 2 × 2 × 3 × 5 in common, and multiplying those shared primes gives 60 — exactly the greatest common factor.

How does the GCF reduce the fraction 300/180?

Divide the numerator and the denominator by the GCF 60: 300 ÷ 60 = 5 and 180 ÷ 60 = 3. So 300/180 in lowest terms is 5/3.

GCF (HCF) of 300 and 180

What is the Greatest Common Divisor of 300 and 180?

More with these numbers

Related Calculations

See Also

GCF Table

FAQ

What is the Greatest Common Divisor of 300 and 180?

How to find the GCF of 300 and 180?

What prime factors do 300 and 180 share?

How does the GCF reduce the fraction 300/180?

See Also

Number 1	Number 2	GCF
300	165	15
300	166	2
300	167	1
300	168	12
300	169	1
300	170	10
300	171	3
300	172	4
300	173	1
300	174	6
300	175	25
300	176	4
300	177	3
300	178	2
300	179	1
300	180	60
300	181	1
300	182	2
300	183	3
300	184	4
300	185	5
300	186	6
300	187	1
300	188	4
300	189	3
300	190	10
300	191	1
300	192	12
300	193	1
300	194	2

Number 1	Number 2	GCF
300	165	15
300	166	2
300	167	1
300	168	12
300	169	1
300	170	10
300	171	3
300	172	4
300	173	1
300	174	6
300	175	25
300	176	4
300	177	3
300	178	2
300	179	1
300	180	60
300	181	1
300	182	2
300	183	3
300	184	4
300	185	5
300	186	6
300	187	1
300	188	4
300	189	3
300	190	10
300	191	1
300	192	12
300	193	1
300	194	2

Number 1	Number 2	GCF
300	165	15
300	166	2
300	167	1
300	168	12
300	169	1
300	170	10
300	171	3
300	172	4
300	173	1
300	174	6
300	175	25
300	176	4
300	177	3
300	178	2
300	179	1
300	180	60
300	181	1
300	182	2
300	183	3
300	184	4
300	185	5
300	186	6
300	187	1
300	188	4
300	189	3
300	190	10
300	191	1
300	192	12
300	193	1
300	194	2