GCF (HCF) of 33 and 55

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What is the Greatest Common Divisor of 33 and 55?

Answer

GCF (HCF) of 33 and 55 is
11

Common factors: 1, 11

11 divides both: 33 ÷ 11 = 3, 55 ÷ 11 = 5 — and 3 and 5 share no factor but 1, so no larger number divides both.

33 = 3 × 11

55 = 5 × 11

Prime3355Lowest power
33——
5—5—
11111111

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

GCF = 11

See Also

FAQ

What is the Greatest Common Divisor of 33 and 55?

GCF (HCF) of 33 and 55 is 11

How to find the GCF of 33 and 55?

You can find the GCF of 33 and 55 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 33 and 55 is 11.

What prime factors do 33 and 55 share?

The prime factorizations of 33 and 55 have 11 in common, and multiplying those shared primes gives 11 — exactly the greatest common factor.

How does the GCF reduce the fraction 33/55?

Divide the numerator and the denominator by the GCF 11: 33 ÷ 11 = 3 and 55 ÷ 11 = 5. So 33/55 in lowest terms is 3/5.