What is the GCF of 96 and 100

"Greatest Common Factor" Calculator

What is the Greatest common Divisor of 96 and 100?

Answer: GCF of 96 and 100 is 4

(Four)

Finding GCF for 96 and 100 using all factors (divisors) listing

The first method to find GCF for numbers 96 and 100 is to list all factors for both numbers and pick the highest common one:

All factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

All factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100

So the Greatest Common Factor for 96 and 100 is 4

Finding GCF for 96 and 100 by Prime Factorization

The second method to find GCF for numbers 96 and 100 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 96: 2, 2, 2, 2, 2, 3

All Prime Factors of 100: 2, 2, 5, 5

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

Now we need to multiply them to find GCF: 2 × 2 = 4

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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 96 and 100? (The answer is: 4). Select the first number (e.g. '96') and the second number (e.g. '100'). 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

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GCF Table

Number 1	Number 2	GCF
81	100	1
82	100	2
83	100	1
84	100	4
85	100	5
86	100	2
87	100	1
88	100	4
89	100	1
90	100	10
91	100	1
92	100	4
93	100	1
94	100	2
95	100	5
96	100	4
97	100	1
98	100	2
99	100	1
100	100	100
101	100	1
102	100	2
103	100	1
104	100	4
105	100	5
106	100	2
107	100	1
108	100	4
109	100	1
110	100	10

GCF for 96 and 100

"Greatest Common Factor" Calculator

What is the Greatest common Divisor of 96 and 100?

Finding GCF for 96 and 100 using all factors (divisors) listing

Finding GCF for 96 and 100 by Prime Factorization

Related Calculations

See Also

About "Greatest Common Factor" Calculator

"Greatest Common Factor" Calculator

GCF Table

FAQ

What is the Greatest common Divisor of 96 and 100?

See Also

Number 1	Number 2	GCF
81	100	1
82	100	2
83	100	1
84	100	4
85	100	5
86	100	2
87	100	1
88	100	4
89	100	1
90	100	10
91	100	1
92	100	4
93	100	1
94	100	2
95	100	5
96	100	4
97	100	1
98	100	2
99	100	1
100	100	100
101	100	1
102	100	2
103	100	1
104	100	4
105	100	5
106	100	2
107	100	1
108	100	4
109	100	1
110	100	10

Number 1	Number 2	GCF
81	100	1
82	100	2
83	100	1
84	100	4
85	100	5
86	100	2
87	100	1
88	100	4
89	100	1
90	100	10
91	100	1
92	100	4
93	100	1
94	100	2
95	100	5
96	100	4
97	100	1
98	100	2
99	100	1
100	100	100
101	100	1
102	100	2
103	100	1
104	100	4
105	100	5
106	100	2
107	100	1
108	100	4
109	100	1
110	100	10

Number 1	Number 2	GCF
81	100	1
82	100	2
83	100	1
84	100	4
85	100	5
86	100	2
87	100	1
88	100	4
89	100	1
90	100	10
91	100	1
92	100	4
93	100	1
94	100	2
95	100	5
96	100	4
97	100	1
98	100	2
99	100	1
100	100	100
101	100	1
102	100	2
103	100	1
104	100	4
105	100	5
106	100	2
107	100	1
108	100	4
109	100	1
110	100	10