What is the GCF of 100 and 200

"Greatest Common Factor" Calculator

What is the Greatest common Divisor of 100 and 200?

Answer: GCF of 100 and 200 is 100

(Hundred)

Finding GCF for 100 and 200 using all factors (divisors) listing

The first method to find GCF for numbers 100 and 200 is to list all factors for both numbers and pick the highest common one:

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

All factors of 200: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

So the Greatest Common Factor for 100 and 200 is 100

Finding GCF for 100 and 200 by Prime Factorization

The second method to find GCF for numbers 100 and 200 is to list all Prime Factors for both numbers and multiply the common ones:

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

All Prime Factors of 200: 2, 2, 2, 5, 5

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

Now we need to multiply them to find GCF: 2 × 2 × 5 × 5 = 100

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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 100 and 200? (The answer is: 100). Select the first number (e.g. '100') and the second number (e.g. '200'). 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
85	200	5
86	200	2
87	200	1
88	200	8
89	200	1
90	200	10
91	200	1
92	200	4
93	200	1
94	200	2
95	200	5
96	200	8
97	200	1
98	200	2
99	200	1
100	200	100
101	200	1
102	200	2
103	200	1
104	200	8
105	200	5
106	200	2
107	200	1
108	200	4
109	200	1
110	200	10
111	200	1
112	200	8
113	200	1
114	200	2

GCF for 100 and 200

"Greatest Common Factor" Calculator

What is the Greatest common Divisor of 100 and 200?

Finding GCF for 100 and 200 using all factors (divisors) listing

Finding GCF for 100 and 200 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 100 and 200?

See Also

Number 1	Number 2	GCF
85	200	5
86	200	2
87	200	1
88	200	8
89	200	1
90	200	10
91	200	1
92	200	4
93	200	1
94	200	2
95	200	5
96	200	8
97	200	1
98	200	2
99	200	1
100	200	100
101	200	1
102	200	2
103	200	1
104	200	8
105	200	5
106	200	2
107	200	1
108	200	4
109	200	1
110	200	10
111	200	1
112	200	8
113	200	1
114	200	2

Number 1	Number 2	GCF
85	200	5
86	200	2
87	200	1
88	200	8
89	200	1
90	200	10
91	200	1
92	200	4
93	200	1
94	200	2
95	200	5
96	200	8
97	200	1
98	200	2
99	200	1
100	200	100
101	200	1
102	200	2
103	200	1
104	200	8
105	200	5
106	200	2
107	200	1
108	200	4
109	200	1
110	200	10
111	200	1
112	200	8
113	200	1
114	200	2

Number 1	Number 2	GCF
85	200	5
86	200	2
87	200	1
88	200	8
89	200	1
90	200	10
91	200	1
92	200	4
93	200	1
94	200	2
95	200	5
96	200	8
97	200	1
98	200	2
99	200	1
100	200	100
101	200	1
102	200	2
103	200	1
104	200	8
105	200	5
106	200	2
107	200	1
108	200	4
109	200	1
110	200	10
111	200	1
112	200	8
113	200	1
114	200	2