GCF of 165 and 231 (Greatest Common Factor)

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 165 and 231?

Answer

GCF of 165 and 231 is
33

(Thirty-three)

Finding GCF for 165 and 231 using all factors (divisors) listing

The first method to find GCF for numbers 165 and 231 is to list all factors for both numbers and pick the highest common one:

All factors of 165: 1, 3, 5, 11, 15, 33, 55, 165

All factors of 231: 1, 3, 7, 11, 21, 33, 77, 231

So the Greatest Common Factor for 165 and 231 is 33

Finding GCF for 165 and 231 by Prime Factorization

The second method to find GCF for numbers 165 and 231 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 165: 3, 5, 11

All Prime Factors of 231: 3, 7, 11

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

Now we need to multiply them to find GCF: 3 × 11 = 33

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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 165 and 231? (The answer is: 33). Select the first number (e.g. '165') and the second number (e.g. '231'). 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
1652163
1652171
1652181
1652193
16522055
1652211
1652223
1652231
1652241
16522515
1652261
1652271
1652283
1652291
1652305
16523133
1652321
1652331
1652343
1652355
1652361
1652373
1652381
1652391
16524015
1652411
16524211
1652433
1652441
1652455

FAQ

What is the Greatest Common Divisor of 165 and 231?

GCF of 165 and 231 is 33

How to find the GCF of 165 and 231?

You can find the GCF of 165 and 231 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 165 and 231 is 33.

What prime factors do 165 and 231 share?

The prime factorizations of 165 and 231 have 3 × 11 in common, and multiplying those shared primes gives 33 — exactly the greatest common factor.

How does the GCF reduce the fraction 165/231?

Divide the numerator and the denominator by the GCF 33: 165 ÷ 33 = 5 and 231 ÷ 33 = 7. So 165/231 in lowest terms is 5/7.

See Also