GCF for 42 and 147

What is the Greatest common Divisor of 42 and 147?

Answer: GCF of 42 and 147 is 21

(Twenty-one)

Finding GCF for 42 and 147 using all factors (divisors) listing

The first method to find GCF for numbers 42 and 147 is to list all factors for both numbers and pick the highest common one:

All factors of 42: 1, 2, 3, 6, 7, 14, 21, 42

All factors of 147: 1, 3, 7, 21, 49, 147

So the Greatest Common Factor for 42 and 147 is 21

Finding GCF for 42 and 147 by Prime Factorization

The second method to find GCF for numbers 42 and 147 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 42: 2, 3, 7

All Prime Factors of 147: 3, 7, 7

As we can see there are Prime Factors common to both numbers: 3, 7

Now we need to multiply them to find GCF: 3 × 7 = 21

GCF Table

Number 1Number 2GCF
271473
281477
291471
301473
311471
321471
331473
341471
351477
361473
371471
381471
391473
401471
411471
42147
431471
441471
451473
461471
471471
481473
4914749
501471
511473
521471
531471
541473
551471
561477

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 42 and 147? (The answer is: 21). Select the first number (e.g. '42') and the second number (e.g. '147'). 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

FAQ

What is the Greatest common Divisor of 42 and 147?

GCF of 42 and 147 is 21