GCF (HCF) of 120 and 160

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What is the Greatest Common Divisor of 120 and 160?

Answer

GCF (HCF) of 120 and 160 is
40

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

40 divides both: 120 ÷ 40 = 3, 160 ÷ 40 = 4 — and 3 and 4 share no factor but 1, so no larger number divides both.

120 = 23 × 3 × 5

160 = 25 × 5

Prime120160Lowest power
2232523
33——
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
1201455
1201462
1201473
1201484
1201491
12015030
1201511
1201528
1201533
1201542
1201555
12015612
1201571
1201582
1201593
12016040
1201611
1201626
1201631
1201644
12016515
1201662
1201671
12016824
1201691
12017010
1201713
1201724
1201731
1201746

FAQ

What is the Greatest Common Divisor of 120 and 160?

GCF (HCF) of 120 and 160 is 40

How to find the GCF of 120 and 160?

You can find the GCF of 120 and 160 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 120 and 160 is 40.

What prime factors do 120 and 160 share?

The prime factorizations of 120 and 160 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 120/160?

Divide the numerator and the denominator by the GCF 40: 120 ÷ 40 = 3 and 160 ÷ 40 = 4. So 120/160 in lowest terms is 3/4.

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