GCF (HCF) of 924 and 396

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What is the Greatest Common Divisor of 924 and 396?

Answer

GCF (HCF) of 924 and 396 is
132

Common factors: 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

132 divides both: 924 ÷ 132 = 7, 396 ÷ 132 = 3 — and 7 and 3 share no factor but 1, so no larger number divides both.

924 = 22 × 3 × 7 × 11

396 = 22 × 32 × 11

Prime924396Lowest power
2222222
33323
77——
11111111

— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.

GCF = 22 × 3 × 11 = 132

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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 (HCF) 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.

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