GCF of 84 and 132 (Greatest Common Factor)

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 84 and 132?

Answer

GCF of 84 and 132 is
12

(Twelve)

Finding GCF for 84 and 132 using all factors (divisors) listing

The first method to find GCF for numbers 84 and 132 is to list all factors for both numbers and pick the highest common one:

All factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

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

So the Greatest Common Factor for 84 and 132 is 12

Finding GCF for 84 and 132 by Prime Factorization

The second method to find GCF for numbers 84 and 132 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 84: 2, 2, 3, 7

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

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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 84 and 132? (The answer is: 12). Select the first number (e.g. '84') 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

GCF Table

Number 1Number 2GCF
841173
841182
841197
8412012
841211
841222
841233
841244
841251
8412642
841271
841284
841293
841302
841311
8413212
841337
841342
841353
841364
841371
841386
841391
8414028
841413
841422
841431
8414412
841451
841462

FAQ

What is the Greatest Common Divisor of 84 and 132?

GCF of 84 and 132 is 12

How to find the GCF of 84 and 132?

You can find the GCF of 84 and 132 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 84 and 132 is 12.

What prime factors do 84 and 132 share?

The prime factorizations of 84 and 132 have 2 × 2 × 3 in common, and multiplying those shared primes gives 12 — exactly the greatest common factor.

How does the GCF reduce the fraction 84/132?

Divide the numerator and the denominator by the GCF 12: 84 ÷ 12 = 7 and 132 ÷ 12 = 11. So 84/132 in lowest terms is 7/11.

See Also