GCF of 66 and 84 (Greatest Common Factor)

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 66 and 84?

Answer

GCF of 66 and 84 is
6

(Six)

Finding GCF for 66 and 84 using all factors (divisors) listing

The first method to find GCF for numbers 66 and 84 is to list all factors for both numbers and pick the highest common one:

All factors of 66: 1, 2, 3, 6, 11, 22, 33, 66

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

So the Greatest Common Factor for 66 and 84 is 6

Finding GCF for 66 and 84 by Prime Factorization

The second method to find GCF for numbers 66 and 84 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 66: 2, 3, 11

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

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

Now we need to multiply them to find GCF: 2 × 3 = 6

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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 66 and 84? (The answer is: 6). Select the first number (e.g. '66') and the second number (e.g. '84'). 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
66693
66702
66711
66726
66731
66742
66753
66762
667711
66786
66791
66802
66813
66822
66831
66846
66851
66862
66873
668822
66891
66906
66911
66922
66933
66942
66951
66966
66971
66982

FAQ

What is the Greatest Common Divisor of 66 and 84?

GCF of 66 and 84 is 6

How to find the GCF of 66 and 84?

You can find the GCF of 66 and 84 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 66 and 84 is 6.

What prime factors do 66 and 84 share?

The prime factorizations of 66 and 84 have 2 × 3 in common, and multiplying those shared primes gives 6 — exactly the greatest common factor.

How does the GCF reduce the fraction 66/84?

Divide the numerator and the denominator by the GCF 6: 66 ÷ 6 = 11 and 84 ÷ 6 = 14. So 66/84 in lowest terms is 11/14.

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