GCF (HCF) of 52 and 53

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What is the Greatest Common Divisor of 52 and 53?

Answer

GCF (HCF) of 52 and 53 is
1

Common factors: 1

Only 1 divides both: 52 and 53 share no prime factor.

Such numbers are called coprime (relatively prime); their LCM is just the product: 52 × 53 = 2,756.

52 = 22 × 13

53 — prime

Prime5253Lowest power
222——
1313——
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
52382
523913
52404
52411
52422
52431
52444
52451
52462
52471
52484
52491
52502
52511
525252
52531
52542
52551
52564
52571
52582
52591
52604
52611
52622
52631
52644
526513
52662
52671

FAQ

What is the Greatest Common Divisor of 52 and 53?

GCF (HCF) of 52 and 53 is 1

How to find the GCF of 52 and 53?

You can find the GCF of 52 and 53 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 52 and 53 is 1.

What prime factors do 52 and 53 share?

52 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 52/53?

Divide the numerator and the denominator by the GCF 1: 52 ÷ 1 = 52 and 53 ÷ 1 = 53. So 52/53 in lowest terms is 52/53.

Are 52 and 53 coprime?

Yes, 52 and 53 are coprime (relatively prime) because their Greatest Common Factor is 1.

See Also