GCF of 132 and 242 (Greatest Common Factor)

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 132 and 242?

Answer

GCF of 132 and 242 is
22

(Twenty-two)

Finding GCF for 132 and 242 using all factors (divisors) listing

The first method to find GCF for numbers 132 and 242 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 242: 1, 2, 11, 22, 121, 242

So the Greatest Common Factor for 132 and 242 is 22

Finding GCF for 132 and 242 by Prime Factorization

The second method to find GCF for numbers 132 and 242 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 242: 2, 11, 11

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

Now we need to multiply them to find GCF: 2 × 11 = 22

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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 242? (The answer is: 22). Select the first number (e.g. '132') and the second number (e.g. '242'). 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
1322271
13222812
1322291
1322302
13223133
1322324
1322331
1322346
1322351
1322364
1322373
1322382
1322391
13224012
1322411
13224222
1322433
1322444
1322451
1322466
1322471
1322484
1322493
1322502
1322511
13225212
13225311
1322542
1322553
1322564

FAQ

What is the Greatest Common Divisor of 132 and 242?

GCF of 132 and 242 is 22

How to find the GCF of 132 and 242?

You can find the GCF of 132 and 242 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 132 and 242 is 22.

What prime factors do 132 and 242 share?

The prime factorizations of 132 and 242 have 2 × 11 in common, and multiplying those shared primes gives 22 — exactly the greatest common factor.

How does the GCF reduce the fraction 132/242?

Divide the numerator and the denominator by the GCF 22: 132 ÷ 22 = 6 and 242 ÷ 22 = 11. So 132/242 in lowest terms is 6/11.

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