GCF (HCF) of 1005 and 960

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What is the Greatest Common Divisor of 1,005 and 960?

Answer

GCF (HCF) of 1,005 and 960 is
15

Common factors: 1, 3, 5, 15

15 divides both: 1,005 ÷ 15 = 67; 960 ÷ 15 = 64 — and 67 and 64 share no factor but 1, so no larger number divides both.

1,005 = 3 × 5 × 67

960 = 26 × 3 × 5

Prime1,005960Lowest power
2—26—
3333
5555
6767——

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

GCF = 3 × 5 = 15

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GCF Table

Number 1Number 2GCF
1,00594515
1,0059461
1,0059471
1,0059483
1,0059491
1,0059505
1,0059513
1,0059521
1,0059531
1,0059543
1,0059555
1,0059561
1,0059573
1,0059581
1,0059591
1,00596015
1,0059611
1,0059621
1,0059633
1,0059641
1,0059655
1,0059663
1,0059671
1,0059681
1,0059693
1,0059705
1,0059711
1,0059723
1,0059731
1,0059741

FAQ

What is the Greatest Common Divisor of 1,005 and 960?

GCF (HCF) of 1,005 and 960 is 15

How to find the GCF of 1,005 and 960?

You can find the GCF of 1,005 and 960 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 1,005 and 960 is 15.

What prime factors do 1,005 and 960 share?

The prime factorizations of 1,005 and 960 have 3 × 5 in common, and multiplying those shared primes gives 15 — exactly the greatest common factor.

How does the GCF reduce the fraction 1005/960?

Divide the numerator and the denominator by the GCF 15: 1,005 ÷ 15 = 67 and 960 ÷ 15 = 64. So 1005/960 in lowest terms is 67/64.

See Also