GCF (HCF) of 40 and 53

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What is the Greatest Common Divisor of 40 and 53?

Answer

GCF (HCF) of 40 and 53 is
1

Common factors: 1

Only 1 divides both: 40 and 53 share no prime factor.

Such numbers are called coprime (relatively prime); their LCM is just the product: 40 × 53 = 2,120.

40 = 23 × 5

53 — prime

Prime4053Lowest power
223——
55——
53—53—

— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.

GCF = 1

See Also

FAQ

What is the Greatest Common Divisor of 40 and 53?

GCF (HCF) of 40 and 53 is 1

How to find the GCF of 40 and 53?

You can find the GCF of 40 and 53 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 40 and 53 is 1.

What prime factors do 40 and 53 share?

40 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 40/53?

Divide the numerator and the denominator by the GCF 1: 40 ÷ 1 = 40 and 53 ÷ 1 = 53. So 40/53 in lowest terms is 40/53.

Are 40 and 53 coprime?

Yes, 40 and 53 are coprime (relatively prime) because their Greatest Common Factor is 1.