GCF for 56 and 140

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 56 and 140?

Answer: GCF of 56 and 140 is 28

(Twenty-eight)

Finding GCF for 56 and 140 using all factors (divisors) listing

The first method to find GCF for numbers 56 and 140 is to list all factors for both numbers and pick the highest common one:

All factors of 56: 1, 2, 4, 7, 8, 14, 28, 56

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

So the Greatest Common Factor for 56 and 140 is 28

Finding GCF for 56 and 140 by Prime Factorization

The second method to find GCF for numbers 56 and 140 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 56: 2, 2, 2, 7

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

See Also

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 56 and 140? (The answer is: 28). Select the first number (e.g. '56') and the second number (e.g. '140'). 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
411401
4214014
431401
441404
451405
461402
471401
481404
491407
5014010
511401
521404
531401
541402
551405
5614028
571401
581402
591401
6014020
611401
621402
631407
641404
651405
661402
671401
681404
691401
7014070

FAQ

What is the Greatest common Divisor of 56 and 140?

GCF of 56 and 140 is 28

See Also