GCF of 924 and 396 (Greatest Common Factor)

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 924 and 396?

Answer

GCF of 924 and 396 is
132

(One hundred thirty-two)

Finding GCF for 924 and 396 using all factors (divisors) listing

The first method to find GCF for numbers 924 and 396 is to list all factors for both numbers and pick the highest common one:

All factors of 924: 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

All factors of 396: 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

So the Greatest Common Factor for 924 and 396 is 132

Finding GCF for 924 and 396 by Prime Factorization

The second method to find GCF for numbers 924 and 396 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 924: 2, 2, 3, 7, 11

All Prime Factors of 396: 2, 2, 3, 3, 11

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

Now we need to multiply them to find GCF: 2 × 2 × 3 × 11 = 132

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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 924 and 396? (The answer is: 132). Select the first number (e.g. '924') and the second number (e.g. '396'). 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
9243813
9243822
9243831
92438412
92438577
9243862
9243873
9243884
9243891
9243906
9243911
92439228
9243933
9243942
9243951
924396132
9243971
9243982
92439921
9244004
9244011
9244026
9244031
9244044
9244053
92440614
92440711
92440812
9244091
9244102

FAQ

What is the Greatest Common Divisor of 924 and 396?

GCF of 924 and 396 is 132

How to find the GCF of 924 and 396?

You can find the GCF of 924 and 396 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 924 and 396 is 132.

What prime factors do 924 and 396 share?

The prime factorizations of 924 and 396 have 2 × 2 × 3 × 11 in common, and multiplying those shared primes gives 132 — exactly the greatest common factor.

How does the GCF reduce the fraction 924/396?

Divide the numerator and the denominator by the GCF 132: 924 ÷ 132 = 7 and 396 ÷ 132 = 3. So 924/396 in lowest terms is 7/3.

See Also