GCF for 40 and 180

What is the Greatest common Divisor of 40 and 180?

Answer: GCF of 40 and 180 is 20

(Twenty)

Finding GCF for 40 and 180 using all factors (divisors) listing

The first method to find GCF for numbers 40 and 180 is to list all factors for both numbers and pick the highest common one:

All factors of 40: 1, 2, 4, 5, 8, 10, 20, 40

All factors of 180: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

So the Greatest Common Factor for 40 and 180 is 20

Finding GCF for 40 and 180 by Prime Factorization

The second method to find GCF for numbers 40 and 180 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 40: 2, 2, 2, 5

All Prime Factors of 180: 2, 2, 3, 3, 5

As we can see there are Prime Factors common to both numbers: 2, 2, 5

Now we need to multiply them to find GCF: 2 × 2 × 5 = 20

GCF Table

Number 1Number 2GCF
25180
261802
27180
281804
291801
30180
311801
32180
331803
341802
351805
36180
371801
381802
391803
40180
411801
421806
431801
441804
45180
461802
471801
4818012
491801
50180
511803
521804
531801
54180

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 40 and 180? (The answer is: 20). Select the first number (e.g. '40') and the second number (e.g. '180'). 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 40 and 180?

GCF of 40 and 180 is 20