GCF (HCF) of 70 and 280

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What is the Greatest Common Divisor of 70 and 280?

Answer

GCF (HCF) of 70 and 280 is
70

Common factors: 1, 2, 5, 7, 10, 14, 35, 70

70 divides 280 (280 ÷ 70 = 4), so the GCF is the smaller number itself.

70 = 2 × 5 × 7

280 = 23 × 5 × 7

Prime70280Lowest power
22232
5555
7777

GCF = 2 × 5 × 7 = 70

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GCF Table

Number 1Number 2GCF
7013010
7015010
7016010
7017535
701855
702055
702155
7022010
702255
7023010
702355
7025010
702555
7026010
7027010
7028070
7029010
7030010
703055
7031010
7031535
7032010
703455
7037010
7038010
7038535
7039010
7040010
7043010
7045010

FAQ

What is the Greatest Common Divisor of 70 and 280?

GCF (HCF) of 70 and 280 is 70

How to find the GCF of 70 and 280?

You can find the GCF of 70 and 280 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 70 and 280 is 70.

What prime factors do 70 and 280 share?

The prime factorizations of 70 and 280 have 2 × 5 × 7 in common, and multiplying those shared primes gives 70 — exactly the greatest common factor.

How does the GCF reduce the fraction 70/280?

Divide the numerator and the denominator by the GCF 70: 70 ÷ 70 = 1 and 280 ÷ 70 = 4. So 70/280 in lowest terms is 1/4.

See Also