What is the GCF of 120 and 300

"Greatest Common Factor" Calculator

What is the Greatest common Divisor of 120 and 300?

Answer: GCF of 120 and 300 is 60

(Sixty)

Finding GCF for 120 and 300 using all factors (divisors) listing

The first method to find GCF for numbers 120 and 300 is to list all factors for both numbers and pick the highest common one:

All factors of 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

All factors of 300: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

So the Greatest Common Factor for 120 and 300 is 60

Finding GCF for 120 and 300 by Prime Factorization

The second method to find GCF for numbers 120 and 300 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 120: 2, 2, 2, 3, 5

All Prime Factors of 300: 2, 2, 3, 5, 5

As we can see there are Prime Factors common to both numbers: 2, 2, 3, 5

Now we need to multiply them to find GCF: 2 × 2 × 3 × 5 = 60

Related Calculations

GCF Table

Number 1	Number 2	GCF
105	300	15
106	300	2
107	300	1
108	300	12
109	300	1
110	300	10
111	300	3
112	300	4
113	300	1
114	300	6
115	300	5
116	300	4
117	300	3
118	300	2
119	300	1
120	300	60
121	300	1
122	300	2
123	300	3
124	300	4
125	300	25
126	300	6
127	300	1
128	300	4
129	300	3
130	300	10
131	300	1
132	300	12
133	300	1
134	300	2

About "Greatest Common Factor" Calculator

This calculator will help you find the greatest common factor (GCF) of two numbers. For example, it can help you find out what is the Greatest common Divisor of 120 and 300? (The answer is: 60). Select the first number (e.g. '120') and the second number (e.g. '300'). After that hit the 'Calculate' button.

Greatest Common Factor (GCF) also known as the Greatest Common Divisor (GCD) or Highest Common Factor (HCF) - it is the largest positive integer that divides each of the integers with zero remainder

GCF for 120 and 300

What is the Greatest common Divisor of 120 and 300?

Finding GCF for 120 and 300 using all factors (divisors) listing

Finding GCF for 120 and 300 by Prime Factorization

Related Calculations

See Also

GCF Table

About "Greatest Common Factor" Calculator

"Greatest Common Factor" Calculator

FAQ

What is the Greatest common Divisor of 120 and 300?

See Also

Number 1	Number 2	GCF
105	300	15
106	300	2
107	300	1
108	300	12
109	300	1
110	300	10
111	300	3
112	300	4
113	300	1
114	300	6
115	300	5
116	300	4
117	300	3
118	300	2
119	300	1
120	300	60
121	300	1
122	300	2
123	300	3
124	300	4
125	300	25
126	300	6
127	300	1
128	300	4
129	300	3
130	300	10
131	300	1
132	300	12
133	300	1
134	300	2

Number 1	Number 2	GCF
105	300	15
106	300	2
107	300	1
108	300	12
109	300	1
110	300	10
111	300	3
112	300	4
113	300	1
114	300	6
115	300	5
116	300	4
117	300	3
118	300	2
119	300	1
120	300	60
121	300	1
122	300	2
123	300	3
124	300	4
125	300	25
126	300	6
127	300	1
128	300	4
129	300	3
130	300	10
131	300	1
132	300	12
133	300	1
134	300	2

Number 1	Number 2	GCF
105	300	15
106	300	2
107	300	1
108	300	12
109	300	1
110	300	10
111	300	3
112	300	4
113	300	1
114	300	6
115	300	5
116	300	4
117	300	3
118	300	2
119	300	1
120	300	60
121	300	1
122	300	2
123	300	3
124	300	4
125	300	25
126	300	6
127	300	1
128	300	4
129	300	3
130	300	10
131	300	1
132	300	12
133	300	1
134	300	2