GCF for 96 and 36

What is the Greatest common Divisor of 96 and 36?

Answer: GCF of 96 and 36 is 12

(Twelve)

Finding GCF for 96 and 36 using all factors (divisors) listing

The first method to find GCF for numbers 96 and 36 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 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

So the Greatest Common Factor for 96 and 36 is 12

Finding GCF for 96 and 36 by Prime Factorization

The second method to find GCF for numbers 96 and 36 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 36: 2, 2, 3, 3

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

Now we need to multiply them to find GCF: 2 × 2 × 3 = 12

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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 36? (The answer is: 12). Select the first number (e.g. '96') and the second number (e.g. '36'). 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
81369
82362
83361
843612
85361
86362
87363
88364
89361
903618
91361
92364
93363
94362
95361
9636
97361
98362
99369
100364
101361
102366
103361
104364
105363
106362
107361
1083636
109361
110362

FAQ

What is the Greatest common Divisor of 96 and 36?

GCF of 96 and 36 is 12