GCF of 792 and 1188 (Greatest Common Factor)

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 792 and 1188?

Answer

GCF of 792 and 1188 is
396

(Three hundred ninety-six)

Finding GCF for 792 and 1188 using all factors (divisors) listing

The first method to find GCF for numbers 792 and 1188 is to list all factors for both numbers and pick the highest common one:

All factors of 792: 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

All factors of 1188: 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 99, 108, 132, 198, 297, 396, 594, 1188

So the Greatest Common Factor for 792 and 1188 is 396

Finding GCF for 792 and 1188 by Prime Factorization

The second method to find GCF for numbers 792 and 1188 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 792: 2, 2, 2, 3, 3, 11

All Prime Factors of 1188: 2, 2, 3, 3, 3, 11

As we can see there are Prime Factors common to both numbers: 2, 2, 3, 3, 11

Now we need to multiply them to find GCF: 2 × 2 × 3 × 3 × 11 = 396

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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 792 and 1188? (The answer is: 396). Select the first number (e.g. '792') and the second number (e.g. '1188'). 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
79211733
79211742
79211751
792117624
792117711
79211782
79211799
79211804
79211811
79211826
79211831
79211848
79211853
79211862
79211871
7921188396
79211891
79211902
79211913
79211928
79211931
79211946
79211951
79211964
79211979
79211982
792119911
792120024
79212011
79212022

FAQ

What is the Greatest Common Divisor of 792 and 1188?

GCF of 792 and 1188 is 396

How to find the GCF of 792 and 1188?

You can find the GCF of 792 and 1188 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 792 and 1188 is 396.

What prime factors do 792 and 1188 share?

The prime factorizations of 792 and 1188 have 2 × 2 × 3 × 3 × 11 in common, and multiplying those shared primes gives 396 — exactly the greatest common factor.

How does the GCF reduce the fraction 792/1188?

Divide the numerator and the denominator by the GCF 396: 792 ÷ 396 = 2 and 1188 ÷ 396 = 3. So 792/1188 in lowest terms is 2/3.

See Also