GCF for 42 and 154

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 42 and 154?

Answer: GCF of 42 and 154 is 14

(Fourteen)

Finding GCF for 42 and 154 using all factors (divisors) listing

The first method to find GCF for numbers 42 and 154 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 154: 1, 2, 7, 11, 14, 22, 77, 154

So the Greatest Common Factor for 42 and 154 is 14

Finding GCF for 42 and 154 by Prime Factorization

The second method to find GCF for numbers 42 and 154 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 154: 2, 7, 11

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 154? (The answer is: 14). Select the first number (e.g. '42') and the second number (e.g. '154'). 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
271541
2815414
291541
301542
311541
321542
3315411
341542
351547
361542
371541
381542
391541
401542
411541
4215414
431541
4415422
451541
461542
471541
481542
491547
501542
511541
521542
531541
541542
5515411
5615414

FAQ

What is the Greatest common Divisor of 42 and 154?

GCF of 42 and 154 is 14

See Also