GCF for 64 and 96

What is the Greatest common Divisor of 64 and 96?

Answer: GCF of 64 and 96 is 32

(Thirty-two)

Finding GCF for 64 and 96 using all factors (divisors) listing

The first method to find GCF for numbers 64 and 96 is to list all factors for both numbers and pick the highest common one:

All factors of 64: 1, 2, 4, 8, 16, 32, 64

All factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

So the Greatest Common Factor for 64 and 96 is 32

Finding GCF for 64 and 96 by Prime Factorization

The second method to find GCF for numbers 64 and 96 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 64: 2, 2, 2, 2, 2, 2

All Prime Factors of 96: 2, 2, 2, 2, 2, 3

As we can see there are Prime Factors common to both numbers: 2, 2, 2, 2, 2

Now we need to multiply them to find GCF: 2 × 2 × 2 × 2 × 2 = 32

See Also

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 64 and 96? (The answer is: 32). Select the first number (e.g. '64') and the second number (e.g. '96'). 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

GCF Table

Number 1Number 2GCF
49961
50962
51963
52964
53961
5496
55961
5696
57963
58962
59961
6096
61961
62962
63963
6496
65961
6696
67961
68964
69963
70962
71961
7296
73961
74962
75963
76964
77961
7896

FAQ

What is the Greatest common Divisor of 64 and 96?

GCF of 64 and 96 is 32