What is the GCF of 105 and 231

"Greatest Common Factor" Calculator

What is the Greatest common Divisor of 105 and 231?

Answer: GCF of 105 and 231 is 21

(Twenty-one)

Finding GCF for 105 and 231 using all factors (divisors) listing

The first method to find GCF for numbers 105 and 231 is to list all factors for both numbers and pick the highest common one:

All factors of 105: 1, 3, 5, 7, 15, 21, 35, 105

All factors of 231: 1, 3, 7, 11, 21, 33, 77, 231

So the Greatest Common Factor for 105 and 231 is 21

Finding GCF for 105 and 231 by Prime Factorization

The second method to find GCF for numbers 105 and 231 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 105: 3, 5, 7

All Prime Factors of 231: 3, 7, 11

As we can see there are Prime Factors common to both numbers: 3, 7

Now we need to multiply them to find GCF: 3 × 7 = 21

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 105 and 231? (The answer is: 21). Select the first number (e.g. '105') and the second number (e.g. '231'). 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
90	231	3
91	231	7
92	231	1
93	231	3
94	231	1
95	231	1
96	231	3
97	231	1
98	231	7
99	231	33
100	231	1
101	231	1
102	231	3
103	231	1
104	231	1
105	231	21
106	231	1
107	231	1
108	231	3
109	231	1
110	231	11
111	231	3
112	231	7
113	231	1
114	231	3
115	231	1
116	231	1
117	231	3
118	231	1
119	231	7

GCF for 105 and 231

"Greatest Common Factor" Calculator

What is the Greatest common Divisor of 105 and 231?

Finding GCF for 105 and 231 using all factors (divisors) listing

Finding GCF for 105 and 231 by Prime Factorization

See Also

About "Greatest Common Factor" Calculator

"Greatest Common Factor" Calculator

GCF Table

FAQ

What is the Greatest common Divisor of 105 and 231?

See Also

Number 1	Number 2	GCF
90	231	3
91	231	7
92	231	1
93	231	3
94	231	1
95	231	1
96	231	3
97	231	1
98	231	7
99	231	33
100	231	1
101	231	1
102	231	3
103	231	1
104	231	1
105	231	21
106	231	1
107	231	1
108	231	3
109	231	1
110	231	11
111	231	3
112	231	7
113	231	1
114	231	3
115	231	1
116	231	1
117	231	3
118	231	1
119	231	7

Number 1	Number 2	GCF
90	231	3
91	231	7
92	231	1
93	231	3
94	231	1
95	231	1
96	231	3
97	231	1
98	231	7
99	231	33
100	231	1
101	231	1
102	231	3
103	231	1
104	231	1
105	231	21
106	231	1
107	231	1
108	231	3
109	231	1
110	231	11
111	231	3
112	231	7
113	231	1
114	231	3
115	231	1
116	231	1
117	231	3
118	231	1
119	231	7

Number 1	Number 2	GCF
90	231	3
91	231	7
92	231	1
93	231	3
94	231	1
95	231	1
96	231	3
97	231	1
98	231	7
99	231	33
100	231	1
101	231	1
102	231	3
103	231	1
104	231	1
105	231	21
106	231	1
107	231	1
108	231	3
109	231	1
110	231	11
111	231	3
112	231	7
113	231	1
114	231	3
115	231	1
116	231	1
117	231	3
118	231	1
119	231	7