GCF (HCF) of 47 and 53

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What is the Greatest Common Divisor of 47 and 53?

Answer

GCF (HCF) of 47 and 53 is
1

Common factors: 1

Only 1 divides both: 47 and 53 share no prime factor.

Such numbers are called coprime (relatively prime); their LCM is just the product: 47 × 53 = 2,491.

47 — prime

53 — prime

Prime4753Lowest power
4747——
53—53—

— = 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
47381
47391
47401
47411
47421
47431
47441
47451
47461
474747
47481
47491
47501
47511
47521
47531
47541
47551
47561
47571
47581
47591
47601
47611
47621
47631
47641
47651
47661
47671

FAQ

What is the Greatest Common Divisor of 47 and 53?

GCF (HCF) of 47 and 53 is 1

How to find the GCF of 47 and 53?

You can find the GCF of 47 and 53 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 47 and 53 is 1.

What prime factors do 47 and 53 share?

47 and 53 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 47/53?

Divide the numerator and the denominator by the GCF 1: 47 ÷ 1 = 47 and 53 ÷ 1 = 53. So 47/53 in lowest terms is 47/53.

Are 47 and 53 coprime?

Yes, 47 and 53 are coprime (relatively prime) because their Greatest Common Factor is 1.

See Also