GCF for 40 and 400

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest Common Divisor of 40 and 400?

Answer

GCF of 40 and 400 is 40

(Forty)

Finding GCF for 40 and 400 using all factors (divisors) listing

The first method to find GCF for numbers 40 and 400 is to list all factors for both numbers and pick the highest common one:

All factors of 40: 1, 2, 4, 5, 8, 10, 20, 40

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 40 and 400 is 40

Finding GCF for 40 and 400 by Prime Factorization

The second method to find GCF for numbers 40 and 400 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 40: 2, 2, 2, 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, 2, 5

Now we need to multiply them to find GCF: 2 × 2 × 2 × 5 = 40

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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 40 and 400? (The answer is: 40). Select the first number (e.g. '40') 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.

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

GCF Table

Number 1Number 2GCF
2540025
264002
274001
284004
294001
3040010
314001
3240016
334001
344002
354005
364004
374001
384002
394001
4040040
414001
424002
434001
444004
454005
464002
474001
4840016
494001
5040050
514001
524004
534001
544002

FAQ

What is the Greatest Common Divisor of 40 and 400?

GCF of 40 and 400 is 40

How to find the GCF of 40 and 400?

You can find the GCF of 40 and 400 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 40 and 400 is 40.

See Also