GCF for 100 and 400

"Greatest Common Factor" Calculator

What is the Greatest common Divisor of 100 and 400?

Answer: GCF of 100 and 400 is 100

(Hundred)

Finding GCF for 100 and 400 using all factors (divisors) listing

The first method to find GCF for numbers 100 and 400 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 400: 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

So the Greatest Common Factor for 100 and 400 is 100

Finding GCF for 100 and 400 by Prime Factorization

The second method to find GCF for numbers 100 and 400 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 400: 2, 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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What is the GCF of 100 and 400. Find the GCF (GCD) of 400 and 100 - the biggest number that can divide two integers.

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GCF Table

Number 1	Number 2	GCF
85	400	5
86	400	2
87	400	1
88	400	8
89	400	1
90	400	10
91	400	1
92	400	4
93	400	1
94	400	2
95	400	5
96	400	16
97	400	1
98	400	2
99	400	1
100	400	100
101	400	1
102	400	2
103	400	1
104	400	8
105	400	5
106	400	2
107	400	1
108	400	4
109	400	1
110	400	10
111	400	1
112	400	16
113	400	1
114	400	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 100 and 400? (The answer is: 100). Select the first number (e.g. '100') and the second number (e.g. '400'). 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

Number 1	Number 2	GCF
85	400	5
86	400	2
87	400	1
88	400	8
89	400	1
90	400	10
91	400	1
92	400	4
93	400	1
94	400	2
95	400	5
96	400	16
97	400	1
98	400	2
99	400	1
100	400	100
101	400	1
102	400	2
103	400	1
104	400	8
105	400	5
106	400	2
107	400	1
108	400	4
109	400	1
110	400	10
111	400	1
112	400	16
113	400	1
114	400	2

Number 1	Number 2	GCF
85	400	5
86	400	2
87	400	1
88	400	8
89	400	1
90	400	10
91	400	1
92	400	4
93	400	1
94	400	2
95	400	5
96	400	16
97	400	1
98	400	2
99	400	1
100	400	100
101	400	1
102	400	2
103	400	1
104	400	8
105	400	5
106	400	2
107	400	1
108	400	4
109	400	1
110	400	10
111	400	1
112	400	16
113	400	1
114	400	2

GCF for 100 and 400

What is the Greatest common Divisor of 100 and 400?

Finding GCF for 100 and 400 using all factors (divisors) listing

Finding GCF for 100 and 400 by Prime Factorization

Related Calculations

GCF Table

About "Greatest Common Factor" Calculator

"Greatest Common Factor" Calculator

FAQ

What is the Greatest common Divisor of 100 and 400?

Number 1	Number 2	GCF
85	400	5
86	400	2
87	400	1
88	400	8
89	400	1
90	400	10
91	400	1
92	400	4
93	400	1
94	400	2
95	400	5
96	400	16
97	400	1
98	400	2
99	400	1
100	400	100
101	400	1
102	400	2
103	400	1
104	400	8
105	400	5
106	400	2
107	400	1
108	400	4
109	400	1
110	400	10
111	400	1
112	400	16
113	400	1
114	400	2