GCF (HCF) of 33 and 49

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What is the Greatest Common Divisor of 33 and 49?

Answer

GCF (HCF) of 33 and 49 is
1

Common factors: 1

Only 1 divides both: 33 and 49 share no prime factor.

Such numbers are called coprime (relatively prime); their LCM is just the product: 33 × 49 = 1,617.

33 = 3 × 11

49 = 72

Prime3349Lowest power
33——
7—72—
1111——

— = 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
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 49?

GCF (HCF) of 33 and 49 is 1

How to find the GCF of 33 and 49?

You can find the GCF of 33 and 49 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 33 and 49 is 1.

What prime factors do 33 and 49 share?

33 and 49 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 33/49?

Divide the numerator and the denominator by the GCF 1: 33 ÷ 1 = 33 and 49 ÷ 1 = 49. So 33/49 in lowest terms is 33/49.

Are 33 and 49 coprime?

Yes, 33 and 49 are coprime (relatively prime) because their Greatest Common Factor is 1.

See Also