GCF of 132 and 220 (Greatest Common Factor)

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 132 and 220?

Answer

GCF of 132 and 220 is
44

(Forty-four)

Finding GCF for 132 and 220 using all factors (divisors) listing

The first method to find GCF for numbers 132 and 220 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 220: 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

So the Greatest Common Factor for 132 and 220 is 44

Finding GCF for 132 and 220 by Prime Factorization

The second method to find GCF for numbers 132 and 220 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 220: 2, 2, 5, 11

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

Now we need to multiply them to find GCF: 2 × 2 × 11 = 44

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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 220? (The answer is: 44). Select the first number (e.g. '132') and the second number (e.g. '220'). 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
1322051
1322062
1322073
1322084
13220911
1322106
1322111
1322124
1322133
1322142
1322151
13221612
1322171
1322182
1322193
13222044
1322211
1322226
1322231
1322244
1322253
1322262
1322271
13222812
1322291
1322302
13223133
1322324
1322331
1322346

FAQ

What is the Greatest Common Divisor of 132 and 220?

GCF of 132 and 220 is 44

How to find the GCF of 132 and 220?

You can find the GCF of 132 and 220 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 132 and 220 is 44.

What prime factors do 132 and 220 share?

The prime factorizations of 132 and 220 have 2 × 2 × 11 in common, and multiplying those shared primes gives 44 — exactly the greatest common factor.

How does the GCF reduce the fraction 132/220?

Divide the numerator and the denominator by the GCF 44: 132 ÷ 44 = 3 and 220 ÷ 44 = 5. So 132/220 in lowest terms is 3/5.

See Also