GCF of 1005 and 960 (Greatest Common Factor)

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 1005 and 960?

Answer

GCF of 1005 and 960 is
15

(Fifteen)

Finding GCF for 1005 and 960 using all factors (divisors) listing

The first method to find GCF for numbers 1005 and 960 is to list all factors for both numbers and pick the highest common one:

All factors of 1005: 1, 3, 5, 15, 67, 201, 335, 1005

All factors of 960: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

So the Greatest Common Factor for 1005 and 960 is 15

Finding GCF for 1005 and 960 by Prime Factorization

The second method to find GCF for numbers 1005 and 960 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 1005: 3, 5, 67

All Prime Factors of 960: 2, 2, 2, 2, 2, 2, 3, 5

As we can see there are Prime Factors common to both numbers: 3, 5

Now we need to multiply them to find GCF: 3 × 5 = 15

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About "Greatest Common Factor" Calculator

This calculator will help you find the greatest common factor (GCF) of two numbers. For example, it can help you find out what is the Greatest Common Divisor of 1005 and 960? (The answer is: 15). Select the first number (e.g. '1005') and the second number (e.g. '960'). After that hit the 'Calculate' button.
Greatest Common Factor (GCF) also known as the Greatest Common Divisor (GCD) or Highest Common Factor (HCF) - it is the largest positive integer that divides each of the integers with zero remainder.
"Greatest Common Factor" Calculator
Greatest Common Factor of
and

GCF Table

Number 1Number 2GCF
100594515
10059461
10059471
10059483
10059491
10059505
10059513
10059521
10059531
10059543
10059555
10059561
10059573
10059581
10059591
100596015
10059611
10059621
10059633
10059641
10059655
10059663
10059671
10059681
10059693
10059705
10059711
10059723
10059731
10059741

FAQ

What is the Greatest Common Divisor of 1005 and 960?

GCF of 1005 and 960 is 15

How to find the GCF of 1005 and 960?

You can find the GCF of 1005 and 960 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 1005 and 960 is 15.

What prime factors do 1005 and 960 share?

The prime factorizations of 1005 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: 1005 ÷ 15 = 67 and 960 ÷ 15 = 64. So 1005/960 in lowest terms is 67/64.

See Also