GCF of 400 and 1080 (Greatest Common Factor)

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 400 and 1080?

Answer

GCF of 400 and 1080 is
40

(Forty)

Finding GCF for 400 and 1080 using all factors (divisors) listing

The first method to find GCF for numbers 400 and 1080 is to list all factors for both numbers and pick the highest common one:

All factors of 400: 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

All factors of 1080: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 90, 108, 120, 135, 180, 216, 270, 360, 540, 1080

So the Greatest Common Factor for 400 and 1080 is 40

Finding GCF for 400 and 1080 by Prime Factorization

The second method to find GCF for numbers 400 and 1080 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 400: 2, 2, 2, 2, 5, 5

All Prime Factors of 1080: 2, 2, 2, 3, 3, 3, 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 400 and 1080? (The answer is: 40). Select the first number (e.g. '400') and the second number (e.g. '1080'). 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
40010655
40010662
40010671
40010684
40010691
400107010
40010711
400107216
40010731
40010742
400107525
40010764
40010771
40010782
40010791
400108040
40010811
40010822
40010831
40010844
40010855
40010862
40010871
400108816
40010891
400109010
40010911
40010924
40010931
40010942

FAQ

What is the Greatest Common Divisor of 400 and 1080?

GCF of 400 and 1080 is 40

How to find the GCF of 400 and 1080?

You can find the GCF of 400 and 1080 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 400 and 1080 is 40.

What prime factors do 400 and 1080 share?

The prime factorizations of 400 and 1080 have 2 × 2 × 2 × 5 in common, and multiplying those shared primes gives 40 — exactly the greatest common factor.

How does the GCF reduce the fraction 400/1080?

Divide the numerator and the denominator by the GCF 40: 400 ÷ 40 = 10 and 1080 ÷ 40 = 27. So 400/1080 in lowest terms is 10/27.

See Also