GCF (HCF) of 70 and 315

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What is the Greatest Common Divisor of 70 and 315?

Answer

GCF (HCF) of 70 and 315 is
35

Common factors: 1, 5, 7, 35

35 divides both: 70 ÷ 35 = 2, 315 ÷ 35 = 9 — and 2 and 9 share no factor but 1, so no larger number divides both.

70 = 2 × 5 × 7

315 = 32 × 5 × 7

Prime70315Lowest power
22——
3—32—
5555
7777

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

GCF = 5 × 7 = 35

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GCF Table

Number 1Number 2GCF
702055
702155
7022010
702255
7023010
702355
7025010
702555
7026010
7027010
7028070
7029010
7030010
703055
7031010
7031535
7032010
703455
7037010
7038010
7038535
7039010
7040010
7041010
7043010
7045010
7045535
7049070
704955
7050010

FAQ

What is the Greatest Common Divisor of 70 and 315?

GCF (HCF) of 70 and 315 is 35

How to find the GCF of 70 and 315?

You can find the GCF of 70 and 315 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 70 and 315 is 35.

What prime factors do 70 and 315 share?

The prime factorizations of 70 and 315 have 5 × 7 in common, and multiplying those shared primes gives 35 — exactly the greatest common factor.

How does the GCF reduce the fraction 70/315?

Divide the numerator and the denominator by the GCF 35: 70 ÷ 35 = 2 and 315 ÷ 35 = 9. So 70/315 in lowest terms is 2/9.

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