GCF (HCF) of 35 and 70

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What is the Greatest Common Divisor of 35 and 70?

Answer

GCF (HCF) of 35 and 70 is
35

Common factors: 1, 5, 7, 35

35 divides 70 (70 ÷ 35 = 2), so the GCF is the smaller number itself.

35 = 5 × 7

70 = 2 × 5 × 7

Prime3570Lowest power
2—2—
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
35181
35361
35391
35405
35411
35427
35431
35441
35455
35461
35471
35481
35497
35505
35521
35541
35555
35567
35571
35605
35637
35655
357035
35721
35755
35777
35847
351005
3510535
351505

FAQ

What is the Greatest Common Divisor of 35 and 70?

GCF (HCF) of 35 and 70 is 35

How to find the GCF of 35 and 70?

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

What prime factors do 35 and 70 share?

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

How does the GCF reduce the fraction 35/70?

Divide the numerator and the denominator by the GCF 35: 35 ÷ 35 = 1 and 70 ÷ 35 = 2. So 35/70 in lowest terms is 1/2.

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