GCF of 96 and 36 (Greatest Common Factor)

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

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.

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

GCF Table

Number 1Number 2GCF
96213
96222
96231
962424
96251
96262
96273
96284
96291
96306
96311
963232
96333
96342
96351
963612
96371
96382
96393
96408
96411
96426
96431
96444
96453
96462
96471
964848
96491
96502

FAQ

What is the Greatest Common Divisor of 96 and 36?

GCF of 96 and 36 is 12

How to find the GCF of 96 and 36?

You can find the GCF of 96 and 36 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 96 and 36 is 12.

See Also