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GCF of 108 and 132 (Greatest Common Factor)

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest Common Divisor of 108 and 132?

Answer

GCF of 108 and 132 is 12

(Twelve)

Finding GCF for 108 and 132 using all factors (divisors) listing

The first method to find GCF for numbers 108 and 132 is to list all factors for both numbers and pick the highest common one:

All factors of 108: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

All factors of 132: 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

So the Greatest Common Factor for 108 and 132 is 12

Finding GCF for 108 and 132 by Prime Factorization

The second method to find GCF for numbers 108 and 132 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 108: 2, 2, 3, 3, 3

All Prime Factors of 132: 2, 2, 3, 11

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

See Also

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What is the GCF of 108 and 132. The GCF of 108 and 132 is 12 — the biggest number that can divide both integers. Step-by-step GCF (GCD) calculation by factoring.
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GCF Table

Number 1Number 2GCF
1081179
1081182
1081191
10812012
1081211
1081222
1081233
1081244
1081251
10812618
1081271
1081284
1081293
1081302
1081311
10813212
1081331
1081342
10813527
1081364
1081371
1081386
1081391
1081404
1081413
1081422
1081431
10814436
1081451
1081462

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 108 and 132? (The answer is: 12). Select the first number (e.g. '108') and the second number (e.g. '132'). 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