GCF for 96 and 144

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest Common Divisor of 96 and 144?

Answer

GCF of 96 and 144 is 48

(Forty-eight)

Finding GCF for 96 and 144 using all factors (divisors) listing

The first method to find GCF for numbers 96 and 144 is to list all factors for both numbers and pick the highest common one:

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

All factors of 144: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

So the Greatest Common Factor for 96 and 144 is 48

Finding GCF for 96 and 144 by Prime Factorization

The second method to find GCF for numbers 96 and 144 is to list all Prime Factors for both numbers and multiply the common ones:

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

All Prime Factors of 144: 2, 2, 2, 2, 3, 3

As we can see there are Prime Factors common to both numbers: 2, 2, 2, 2, 3

Now we need to multiply them to find GCF: 2 × 2 × 2 × 2 × 3 = 48

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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 96 and 144? (The answer is: 48). Select the first number (e.g. '96') and the second number (e.g. '144'). 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 1 Number 2 GCF
81 144 9
82 144 2
83 144 1
84 144 12
85 144 1
86 144 2
87 144 3
88 144 8
89 144 1
90 144 18
91 144 1
92 144 4
93 144 3
94 144 2
95 144 1
96 144 48
97 144 1
98 144 2
99 144 9
100 144 4
101 144 1
102 144 6
103 144 1
104 144 8
105 144 3
106 144 2
107 144 1
108 144 36
109 144 1
110 144 2

FAQ

What is the Greatest Common Divisor of 96 and 144?
GCF of 96 and 144 is 48

How to find the GCF of 96 and 144?
You can find the GCF of 96 and 144 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 96 and 144 is 48.

See Also