GCF (HCF) of 35 and 18

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What is the Greatest Common Divisor of 35 and 18?

Answer

GCF (HCF) of 35 and 18 is
1

Common factors: 1

Only 1 divides both: 35 and 18 share no prime factor.

Such numbers are called coprime (relatively prime); their LCM is just the product: 35 × 18 = 630.

35 = 5 × 7

18 = 2 × 32

Prime3518Lowest power
2—2—
3—32—
55——
77——

— = 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 35 and 18?

GCF (HCF) of 35 and 18 is 1

How to find the GCF of 35 and 18?

You can find the GCF of 35 and 18 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 35 and 18 is 1.

What prime factors do 35 and 18 share?

35 and 18 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 35/18?

Divide the numerator and the denominator by the GCF 1: 35 ÷ 1 = 35 and 18 ÷ 1 = 18. So 35/18 in lowest terms is 35/18.

Are 35 and 18 coprime?

Yes, 35 and 18 are coprime (relatively prime) because their Greatest Common Factor is 1.