GCF for 64 and 76

What is the Greatest common Divisor of 64 and 76?

Answer: GCF of 64 and 76 is 4

(Four)

Finding GCF for 64 and 76 using all factors (divisors) listing

The first method to find GCF for numbers 64 and 76 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 76: 1, 2, 4, 19, 38, 76

So the Greatest Common Factor for 64 and 76 is 4

Finding GCF for 64 and 76 by Prime Factorization

The second method to find GCF for numbers 64 and 76 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 76: 2, 2, 19

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

Now we need to multiply them to find GCF: 2 × 2 = 4

Related Calculations

GCF Table

Number 1Number 2GCF
49761
50762
51761
52764
53761
54762
55761
56764
5776
58762
59761
60764
61761
62762
63761
6476
65761
66762
67761
68764
69761
70762
71761
72764
73761
74762
75761
767676
77761
78762

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 76? (The answer is: 4). Select the first number (e.g. '64') and the second number (e.g. '76'). 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

FAQ

What is the Greatest common Divisor of 64 and 76?

GCF of 64 and 76 is 4