GCF (HCF) of 170 and 300

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What is the Greatest Common Divisor of 170 and 300?

Answer

GCF (HCF) of 170 and 300 is
10

Common factors: 1, 2, 5, 10

10 divides both: 170 ÷ 10 = 17, 300 ÷ 10 = 30 — and 17 and 30 share no factor but 1, so no larger number divides both.

170 = 2 × 5 × 17

300 = 22 × 3 × 52

Prime170300Lowest power
22222
3—3—
55525
1717——

— = 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
1702855
1702862
1702871
1702882
17028917
17029010
1702911
1702922
1702931
1702942
1702955
1702962
1702971
1702982
1702991
17030010
1703011
1703022
1703031
1703042
1703055
17030634
1703071
1703082
1703091
17031010
1703111
1703122
1703131
1703142

FAQ

What is the Greatest Common Divisor of 170 and 300?

GCF (HCF) of 170 and 300 is 10

How to find the GCF of 170 and 300?

You can find the GCF of 170 and 300 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 170 and 300 is 10.

What prime factors do 170 and 300 share?

The prime factorizations of 170 and 300 have 2 × 5 in common, and multiplying those shared primes gives 10 — exactly the greatest common factor.

How does the GCF reduce the fraction 170/300?

Divide the numerator and the denominator by the GCF 10: 170 ÷ 10 = 17 and 300 ÷ 10 = 30. So 170/300 in lowest terms is 17/30.

See Also