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 1Number 2GCF
125841
1268442
127841
128844
129843
130842
131841
1328412
133847
134842
135843
136844
137841
138846
139841
1408428
141843
142842
143841
1448412
145841
146842
1478421
148844
149841
150846
151841
152844
153843
1548414

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