What is the GCF of 120 and 144

"Greatest Common Factor" Calculator

What is the Greatest common Divisor of 120 and 144?

Answer: GCF of 120 and 144 is 24

(Twenty-four)

Finding GCF for 120 and 144 using all factors (divisors) listing

The first method to find GCF for numbers 120 and 144 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 144: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

So the Greatest Common Factor for 120 and 144 is 24

Finding GCF for 120 and 144 by Prime Factorization

The second method to find GCF for numbers 120 and 144 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 144: 2, 2, 2, 2, 3, 3

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

Now we need to multiply them to find GCF: 2 × 2 × 2 × 3 = 24

Related Calculations

What is the LCM of 120 and 144?

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 144? (The answer is: 24). Select the first number (e.g. '120') and the second number (e.g. '144'). 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

"Greatest Common Factor" Calculator

GCF Table

Number 1	Number 2	GCF
105	144	3
106	144	2
107	144	1
108	144	36
109	144	1
110	144	2
111	144	3
112	144	16
113	144	1
114	144	6
115	144	1
116	144	4
117	144	9
118	144	2
119	144	1
120	144	24
121	144	1
122	144	2
123	144	3
124	144	4
125	144	1
126	144	18
127	144	1
128	144	16
129	144	3
130	144	2
131	144	1
132	144	12
133	144	1
134	144	2

GCF for 120 and 144

"Greatest Common Factor" Calculator

What is the Greatest common Divisor of 120 and 144?

Finding GCF for 120 and 144 using all factors (divisors) listing

Finding GCF for 120 and 144 by Prime Factorization

Related Calculations

About "Greatest Common Factor" Calculator

"Greatest Common Factor" Calculator

GCF Table

FAQ

What is the Greatest common Divisor of 120 and 144?

See Also

Number 1	Number 2	GCF
105	144	3
106	144	2
107	144	1
108	144	36
109	144	1
110	144	2
111	144	3
112	144	16
113	144	1
114	144	6
115	144	1
116	144	4
117	144	9
118	144	2
119	144	1
120	144	24
121	144	1
122	144	2
123	144	3
124	144	4
125	144	1
126	144	18
127	144	1
128	144	16
129	144	3
130	144	2
131	144	1
132	144	12
133	144	1
134	144	2

Number 1	Number 2	GCF
105	144	3
106	144	2
107	144	1
108	144	36
109	144	1
110	144	2
111	144	3
112	144	16
113	144	1
114	144	6
115	144	1
116	144	4
117	144	9
118	144	2
119	144	1
120	144	24
121	144	1
122	144	2
123	144	3
124	144	4
125	144	1
126	144	18
127	144	1
128	144	16
129	144	3
130	144	2
131	144	1
132	144	12
133	144	1
134	144	2

Number 1	Number 2	GCF
105	144	3
106	144	2
107	144	1
108	144	36
109	144	1
110	144	2
111	144	3
112	144	16
113	144	1
114	144	6
115	144	1
116	144	4
117	144	9
118	144	2
119	144	1
120	144	24
121	144	1
122	144	2
123	144	3
124	144	4
125	144	1
126	144	18
127	144	1
128	144	16
129	144	3
130	144	2
131	144	1
132	144	12
133	144	1
134	144	2