GCF (HCF) of 48 and 53

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What is the Greatest Common Divisor of 48 and 53?

Answer

GCF (HCF) of 48 and 53 is
1

Common factors: 1

Only 1 divides both: 48 and 53 share no prime factor.

Such numbers are called coprime (relatively prime); their LCM is just the product: 48 × 53 = 2,544.

48 = 24 × 3

53 — prime

Prime4853Lowest power
224——
33——
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
481212
483216
483612
48491
48502
48513
48524
48531
48546
48568
48573
48582
48591
486012
486416
48666
487224
48753
488016
48813
488412
48906
489648
48993
481004
4812024
4812816
4816824
484506

FAQ

What is the Greatest Common Divisor of 48 and 53?

GCF (HCF) of 48 and 53 is 1

How to find the GCF of 48 and 53?

You can find the GCF of 48 and 53 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 48 and 53 is 1.

What prime factors do 48 and 53 share?

48 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 48/53?

Divide the numerator and the denominator by the GCF 1: 48 ÷ 1 = 48 and 53 ÷ 1 = 53. So 48/53 in lowest terms is 48/53.

Are 48 and 53 coprime?

Yes, 48 and 53 are coprime (relatively prime) because their Greatest Common Factor is 1.

See Also