GCF (HCF) of 33 and 54

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What is the Greatest Common Divisor of 33 and 54?

Answer

GCF (HCF) of 33 and 54 is
3

Common factors: 1, 3

3 divides both: 33 ÷ 3 = 11, 54 ÷ 3 = 18 — and 11 and 18 share no factor but 1, so no larger number divides both.

33 = 3 × 11

54 = 2 × 33

Prime3354Lowest power
2—2—
33333
1111——

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

GCF = 3

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GCF Table

Number 1Number 2GCF
33363
33371
33393
33401
33423
33431
334411
33453
33461
33471
33491
33513
33531
33543
335511
33561
33573
33603
337711
3312111

FAQ

What is the Greatest Common Divisor of 33 and 54?

GCF (HCF) of 33 and 54 is 3

How to find the GCF of 33 and 54?

You can find the GCF of 33 and 54 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 33 and 54 is 3.

What prime factors do 33 and 54 share?

The prime factorizations of 33 and 54 have 3 in common, and multiplying those shared primes gives 3 — exactly the greatest common factor.

How does the GCF reduce the fraction 33/54?

Divide the numerator and the denominator by the GCF 3: 33 ÷ 3 = 11 and 54 ÷ 3 = 18. So 33/54 in lowest terms is 11/18.

See Also