GCF for 64 and 48

What is the Greatest common Divisor of 64 and 48?

Answer: GCF of 64 and 48 is 16

(Sixteen)

Finding GCF for 64 and 48 using all factors (divisors) listing

The first method to find GCF for numbers 64 and 48 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 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

So the Greatest Common Factor for 64 and 48 is 16

Finding GCF for 64 and 48 by Prime Factorization

The second method to find GCF for numbers 64 and 48 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 48: 2, 2, 2, 2, 3

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

Now we need to multiply them to find GCF: 2 × 2 × 2 × 2 = 16

Related Calculations

See Also

GCF Table

Number 1Number 2GCF
49481
50482
51483
52484
53481
5448
55481
56488
57483
58482
59481
604812
61481
62482
63483
6448
65481
66486
67481
68484
69483
70482
71481
724824
73481
74482
75483
76484
77481
78486

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 48? (The answer is: 16). Select the first number (e.g. '64') and the second number (e.g. '48'). 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 48?

GCF of 64 and 48 is 16