GCF (HCF) of 80 and 120

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What is the Greatest Common Divisor of 80 and 120?

Answer

GCF (HCF) of 80 and 120 is
40

Common factors: 1, 2, 4, 5, 8, 10, 20, 40

40 divides both: 80 ÷ 40 = 2, 120 ÷ 40 = 3 — and 2 and 3 share no factor but 1, so no larger number divides both.

80 = 24 × 5

120 = 23 × 3 × 5

Prime80120Lowest power
2242323
3—3—
5555

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

GCF = 23 × 5 = 40

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GCF Table

Number 1Number 2GCF
802020
80844
809010
809616
8010020
8011010
8011216
801155
8012040
801255
8014020
8014416
801555
801655
8018020
801855
8019010
8020040
802155
802255
802655
802755
802855
8030020
8031010
803255
803555
8036040
8044040
804555

FAQ

What is the Greatest Common Divisor of 80 and 120?

GCF (HCF) of 80 and 120 is 40

How to find the GCF of 80 and 120?

You can find the GCF of 80 and 120 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 80 and 120 is 40.

What prime factors do 80 and 120 share?

The prime factorizations of 80 and 120 have 2 × 2 × 2 × 5 in common, and multiplying those shared primes gives 40 — exactly the greatest common factor.

How does the GCF reduce the fraction 80/120?

Divide the numerator and the denominator by the GCF 40: 80 ÷ 40 = 2 and 120 ÷ 40 = 3. So 80/120 in lowest terms is 2/3.

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