GCF of 792 and 1188 (Greatest Common Factor)

"Greatest Common Factor" Calculator
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What is the Greatest Common Divisor of 792 and 1,188?

Answer

GCF of 792 and 1,188 is
396

(Three hundred ninety-six)

Finding GCF for 792 and 1,188 using all factors (divisors) listing

The first method to find GCF for numbers 792 and 1,188 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 1,188: 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 1,188 is 396

Finding GCF for 792 and 1,188 by Prime Factorization

The second method to find GCF for numbers 792 and 1,188 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 1,188: 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 1,188? (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.
Recalculate with different values ↑

GCF Table

Number 1Number 2GCF
7921,1733
7921,1742
7921,1751
7921,17624
7921,17711
7921,1782
7921,1799
7921,1804
7921,1811
7921,1826
7921,1831
7921,1848
7921,1853
7921,1862
7921,1871
7921,188396
7921,1891
7921,1902
7921,1913
7921,1928
7921,1931
7921,1946
7921,1951
7921,1964
7921,1979
7921,1982
7921,19911
7921,20024
7921,2011
7921,2022

FAQ

What is the Greatest Common Divisor of 792 and 1,188?

GCF of 792 and 1,188 is 396

How to find the GCF of 792 and 1,188?

You can find the GCF of 792 and 1,188 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 792 and 1,188 is 396.

What prime factors do 792 and 1,188 share?

The prime factorizations of 792 and 1,188 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 1,188 ÷ 396 = 3. So 792/1188 in lowest terms is 2/3.

See Also