GCF (HCF) of 5 and 33

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Greatest Common Factor of
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What is the Greatest Common Divisor of 5 and 33?

Answer

GCF (HCF) of 5 and 33 is
1

Common factors: 1

Only 1 divides both: 5 and 33 share no prime factor.

Such numbers are called coprime (relatively prime); their LCM is just the product: 5 × 33 = 165.

5 — prime

33 = 3 × 11

Prime533Lowest power
3—3—
55——
11—11—

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

GCF = 1

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GCF Table

Number 1Number 2GCF
5155
5161
5171
5181
5191
5205
5211
5221
5231
5241
5255
5271
5281
5305
5311
5331
5355
5361
5371
5405
5441
5455
5461
5471
5505
5555
5605
5655
5705
5755

FAQ

What is the Greatest Common Divisor of 5 and 33?

GCF (HCF) of 5 and 33 is 1

How to find the GCF of 5 and 33?

You can find the GCF of 5 and 33 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 5 and 33 is 1.

What prime factors do 5 and 33 share?

5 and 33 have no prime factor in common, so the only integer that divides both of them is 1 and their GCF is 1.

How does the GCF reduce the fraction 5/33?

Divide the numerator and the denominator by the GCF 1: 5 ÷ 1 = 5 and 33 ÷ 1 = 33. So 5/33 in lowest terms is 5/33.

Are 5 and 33 coprime?

Yes, 5 and 33 are coprime (relatively prime) because their Greatest Common Factor is 1.

See Also