GCF for 42 and 138

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 42 and 138?

Answer: GCF of 42 and 138 is 6

(Six)

Finding GCF for 42 and 138 using all factors (divisors) listing

The first method to find GCF for numbers 42 and 138 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 138: 1, 2, 3, 6, 23, 46, 69, 138

So the Greatest Common Factor for 42 and 138 is 6

Finding GCF for 42 and 138 by Prime Factorization

The second method to find GCF for numbers 42 and 138 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 138: 2, 3, 23

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

Now we need to multiply them to find GCF: 2 × 3 = 6

See Also

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 138? (The answer is: 6). Select the first number (e.g. '42') and the second number (e.g. '138'). 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
271383
281382
291381
301386
311381
321382
331383
341382
351381
361386
371381
381382
391383
401382
411381
421386
431381
441382
451383
4613846
471381
481386
491381
501382
511383
521382
531381
541386
551381
561382

FAQ

What is the Greatest common Divisor of 42 and 138?

GCF of 42 and 138 is 6

See Also