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GCF (HCF) of 80 and 305

"Greatest Common Factor" Calculator

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

Prime	80	305	Lowest power
2	2⁴	—	—
5	5	5	5
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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See Also

Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers
Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers

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What is the GCF (HCF) of 80 and 305. The GCF of 80 and 305 is 5 — the biggest number that can divide both integers. Step-by-step GCF (GCD) calculation by factoring.

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GCF Table

Number 1	Number 2	GCF
80	110	10
80	112	16
80	115	5
80	120	40
80	125	5
80	140	20
80	144	16
80	155	5
80	165	5
80	180	20
80	185	5
80	190	10
80	200	40
80	215	5
80	225	5
80	265	5
80	275	5
80	285	5
80	300	20
80	305	5
80	310	10
80	325	5
80	330	10
80	355	5
80	360	40
80	440	40
80	455	5
80	470	10
80	490	10
80	495	5

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.