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 1,080?

Answer

GCF of 400 and 1,080 is
40

(Forty)

Finding GCF for 400 and 1,080 using all factors (divisors) listing

The first method to find GCF for numbers 400 and 1,080 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 1,080: 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 1,080 is 40

Finding GCF for 400 and 1,080 by Prime Factorization

The second method to find GCF for numbers 400 and 1,080 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 1,080: 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 1,080? (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.
Recalculate with different values ↑

GCF Table

Number 1Number 2GCF
4001,0655
4001,0662
4001,0671
4001,0684
4001,0691
4001,07010
4001,0711
4001,07216
4001,0731
4001,0742
4001,07525
4001,0764
4001,0771
4001,0782
4001,0791
4001,08040
4001,0811
4001,0822
4001,0831
4001,0844
4001,0855
4001,0862
4001,0871
4001,08816
4001,0891
4001,09010
4001,0911
4001,0924
4001,0931
4001,0942

FAQ

What is the Greatest Common Divisor of 400 and 1,080?

GCF of 400 and 1,080 is 40

How to find the GCF of 400 and 1,080?

You can find the GCF of 400 and 1,080 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 400 and 1,080 is 40.

What prime factors do 400 and 1,080 share?

The prime factorizations of 400 and 1,080 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 1,080 ÷ 40 = 27. So 400/1080 in lowest terms is 10/27.

See Also