GCF for 140 and 84

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest Common Divisor of 140 and 84?

Answer

GCF of 140 and 84 is 28

(Twenty-eight)

Finding GCF for 140 and 84 using all factors (divisors) listing

The first method to find GCF for numbers 140 and 84 is to list all factors for both numbers and pick the highest common one:

All factors of 140: 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

All factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

So the Greatest Common Factor for 140 and 84 is 28

Finding GCF for 140 and 84 by Prime Factorization

The second method to find GCF for numbers 140 and 84 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 140: 2, 2, 5, 7

All Prime Factors of 84: 2, 2, 3, 7

As we can see there are Prime Factors common to both numbers: 2, 2, 7

Now we need to multiply them to find GCF: 2 × 2 × 7 = 28

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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 140 and 84? (The answer is: 28). Select the first number (e.g. '140') and the second number (e.g. '84'). 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

Greatest Common Factor of

and

GCF Table

Number 1 Number 2 GCF
125 84 1
126 84 42
127 84 1
128 84 4
129 84 3
130 84 2
131 84 1
132 84 12
133 84 7
134 84 2
135 84 3
136 84 4
137 84 1
138 84 6
139 84 1
140 84 28
141 84 3
142 84 2
143 84 1
144 84 12
145 84 1
146 84 2
147 84 21
148 84 4
149 84 1
150 84 6
151 84 1
152 84 4
153 84 3
154 84 14

FAQ

What is the Greatest Common Divisor of 140 and 84?
GCF of 140 and 84 is 28

How to find the GCF of 140 and 84?
You can find the GCF of 140 and 84 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 140 and 84 is 28.

See Also