GCF for 42 and 140

What is the Greatest common Divisor of 42 and 140?

Answer: GCF of 42 and 140 is 14

(Fourteen)

Finding GCF for 42 and 140 using all factors (divisors) listing

The first method to find GCF for numbers 42 and 140 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 140: 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

So the Greatest Common Factor for 42 and 140 is 14

Finding GCF for 42 and 140 by Prime Factorization

The second method to find GCF for numbers 42 and 140 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 140: 2, 2, 5, 7

As we can see there are Prime Factors common to both numbers: 2, 7

Now we need to multiply them to find GCF: 2 × 7 = 14

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 140? (The answer is: 14). Select the first number (e.g. '42') and the second number (e.g. '140'). 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

GCF Table

Number 1Number 2GCF
271401
2814028
291401
3014010
311401
321404
331401
341402
3514035
361404
371401
381402
391401
4014020
411401
42140
431401
441404
451405
461402
471401
481404
491407
5014010
511401
521404
531401
541402
551405
56140

FAQ

What is the Greatest common Divisor of 42 and 140?

GCF of 42 and 140 is 14