GCF (HCF) of 80 and 305

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Greatest Common Factor of
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What is the Greatest Common Divisor of 80 and 305?

Answer

GCF (HCF) of 80 and 305 is
5

Common factors: 1, 5

5 divides both: 80 ÷ 5 = 16, 305 ÷ 5 = 61 — and 16 and 61 share no factor but 1, so no larger number divides both.

80 = 24 × 5

305 = 5 × 61

Prime80305Lowest power
224——
5555
61—61—

— = 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
8011010
8011216
801155
8012040
801255
8014020
8014416
801555
801655
8018020
801855
8019010
8020040
802155
802255
802655
802755
802855
8030020
803055
8031010
803255
8033010
803555
8036040
8044040
804555
8047010
8049010
804955

FAQ

What is the Greatest Common Divisor of 80 and 305?

GCF (HCF) of 80 and 305 is 5

How to find the GCF of 80 and 305?

You can find the GCF of 80 and 305 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 80 and 305 is 5.

What prime factors do 80 and 305 share?

The prime factorizations of 80 and 305 have 5 in common, and multiplying those shared primes gives 5 — exactly the greatest common factor.

How does the GCF reduce the fraction 80/305?

Divide the numerator and the denominator by the GCF 5: 80 ÷ 5 = 16 and 305 ÷ 5 = 61. So 80/305 in lowest terms is 16/61.

See Also