GCF (HCF) of 70 and 225

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Greatest Common Factor of
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What is the Greatest Common Divisor of 70 and 225?

Answer

GCF (HCF) of 70 and 225 is
5

Common factors: 1, 5

5 divides both: 70 ÷ 5 = 14, 225 ÷ 5 = 45 — and 14 and 45 share no factor but 1, so no larger number divides both.

70 = 2 × 5 × 7

225 = 32 × 52

Prime70225Lowest power
22——
3—32—
55525
77——

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

GCF = 5

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GCF Table

Number 1Number 2GCF
708010
708414
7010010
7010535
7011010
7013010
701355
7015010
7016010
7017010
7017535
701855
702055
702155
7022010
702255
7023010
702355
7025010
702555
7026010
7027010
7028070
7029010
7030010
703055
7031010
7031535
7032010
703455

FAQ

What is the Greatest Common Divisor of 70 and 225?

GCF (HCF) of 70 and 225 is 5

How to find the GCF of 70 and 225?

You can find the GCF of 70 and 225 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 70 and 225 is 5.

What prime factors do 70 and 225 share?

The prime factorizations of 70 and 225 have 5 in common, and multiplying those shared primes gives 5 — exactly the greatest common factor.

How does the GCF reduce the fraction 70/225?

Divide the numerator and the denominator by the GCF 5: 70 ÷ 5 = 14 and 225 ÷ 5 = 45. So 70/225 in lowest terms is 14/45.

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