GCF (HCF) of 40 and 350

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What is the Greatest Common Divisor of 40 and 350?

Answer

GCF (HCF) of 40 and 350 is
10

Common factors: 1, 2, 5, 10

10 divides both: 40 ÷ 10 = 4, 350 ÷ 10 = 35 — and 4 and 35 share no factor but 1, so no larger number divides both.

40 = 23 × 5

350 = 2 × 52 × 7

Prime40350Lowest power
22322
55525
7—7—

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

GCF = 2 × 5 = 10

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GCF Table

Number 1Number 2GCF
4022020
4024040
402455
4025010
4026020
402655
402755
403055
4031010
403155
4032040
403255
4033010
403355
4034020
403455
4035010
403755
4039010
4040040
404055
4041010
404255
4043010
404355
404455
404555
4046020
404655
404755

FAQ

What is the Greatest Common Divisor of 40 and 350?

GCF (HCF) of 40 and 350 is 10

How to find the GCF of 40 and 350?

You can find the GCF of 40 and 350 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 40 and 350 is 10.

What prime factors do 40 and 350 share?

The prime factorizations of 40 and 350 have 2 × 5 in common, and multiplying those shared primes gives 10 — exactly the greatest common factor.

How does the GCF reduce the fraction 40/350?

Divide the numerator and the denominator by the GCF 10: 40 ÷ 10 = 4 and 350 ÷ 10 = 35. So 40/350 in lowest terms is 4/35.

See Also