GCF of 132 and 198 (Greatest Common Factor)

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 132 and 198?

Answer

GCF of 132 and 198 is
66

(Sixty-six)

Finding GCF for 132 and 198 using all factors (divisors) listing

The first method to find GCF for numbers 132 and 198 is to list all factors for both numbers and pick the highest common one:

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

All factors of 198: 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

So the Greatest Common Factor for 132 and 198 is 66

Finding GCF for 132 and 198 by Prime Factorization

The second method to find GCF for numbers 132 and 198 is to list all Prime Factors for both numbers and multiply the common ones:

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

All Prime Factors of 198: 2, 3, 3, 11

As we can see there are Prime Factors common to both numbers: 2, 3, 11

Now we need to multiply them to find GCF: 2 × 3 × 11 = 66

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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 132 and 198? (The answer is: 66). Select the first number (e.g. '132') and the second number (e.g. '198'). 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
1321833
1321844
1321851
1321866
13218711
1321884
1321893
1321902
1321911
13219212
1321931
1321942
1321953
1321964
1321971
13219866
1321991
1322004
1322013
1322022
1322031
13220412
1322051
1322062
1322073
1322084
13220911
1322106
1322111
1322124

FAQ

What is the Greatest Common Divisor of 132 and 198?

GCF of 132 and 198 is 66

How to find the GCF of 132 and 198?

You can find the GCF of 132 and 198 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 132 and 198 is 66.

What prime factors do 132 and 198 share?

The prime factorizations of 132 and 198 have 2 × 3 × 11 in common, and multiplying those shared primes gives 66 — exactly the greatest common factor.

How does the GCF reduce the fraction 132/198?

Divide the numerator and the denominator by the GCF 66: 132 ÷ 66 = 2 and 198 ÷ 66 = 3. So 132/198 in lowest terms is 2/3.

See Also