GCF of 66 and 243 (Greatest Common Factor)

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 66 and 243?

Answer

GCF of 66 and 243 is
3

(Three)

Finding GCF for 66 and 243 using all factors (divisors) listing

The first method to find GCF for numbers 66 and 243 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 243: 1, 3, 9, 27, 81, 243

So the Greatest Common Factor for 66 and 243 is 3

Finding GCF for 66 and 243 by Prime Factorization

The second method to find GCF for numbers 66 and 243 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 243: 3, 3, 3, 3, 3

As we can see there is only one Prime Factor common to both numbers. It is 3

So 3 is the Greatest Common Factor of 66 and 243

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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 243? (The answer is: 3). Select the first number (e.g. '66') and the second number (e.g. '243'). 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
662286
662291
662302
6623133
662322
662331
662346
662351
662362
662373
662382
662391
662406
662411
6624222
662433
662442
662451
662466
662471
662482
662493
662502
662511
662526
6625311
662542
662553
662562
662571

FAQ

What is the Greatest Common Divisor of 66 and 243?

GCF of 66 and 243 is 3

How to find the GCF of 66 and 243?

You can find the GCF of 66 and 243 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 66 and 243 is 3.

What prime factors do 66 and 243 share?

The prime factorizations of 66 and 243 have 3 in common, and multiplying those shared primes gives 3 — exactly the greatest common factor.

How does the GCF reduce the fraction 66/243?

Divide the numerator and the denominator by the GCF 3: 66 ÷ 3 = 22 and 243 ÷ 3 = 81. So 66/243 in lowest terms is 22/81.

See Also