GCF (HCF) of 8 and 53

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What is the Greatest Common Divisor of 8 and 53?

Answer

GCF (HCF) of 8 and 53 is
1

Common factors: 1

Only 1 divides both: 8 and 53 share no prime factor.

Such numbers are called coprime (relatively prime); their LCM is just the product: 8 × 53 = 424.

8 = 23

53 — prime

Prime853Lowest power
223——
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
8271
8284
8291
8302
8328
8331
8351
8364
8408
8422
8431
8444
8451
8488
8491
8502
8524
8531
8568
8591
8604
8631
8648
8728
8808
8902
8968
81004
81208
81,0008

FAQ

What is the Greatest Common Divisor of 8 and 53?

GCF (HCF) of 8 and 53 is 1

How to find the GCF of 8 and 53?

You can find the GCF of 8 and 53 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 8 and 53 is 1.

What prime factors do 8 and 53 share?

8 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 8/53?

Divide the numerator and the denominator by the GCF 1: 8 ÷ 1 = 8 and 53 ÷ 1 = 53. So 8/53 in lowest terms is 8/53.

Are 8 and 53 coprime?

Yes, 8 and 53 are coprime (relatively prime) because their Greatest Common Factor is 1.

See Also