GCF for 40 and 120

What is the Greatest common Divisor of 40 and 120?

Answer: GCF of 40 and 120 is 40

(Forty)

Finding GCF for 40 and 120 using all factors (divisors) listing

The first method to find GCF for numbers 40 and 120 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 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

So the Greatest Common Factor for 40 and 120 is 40

Finding GCF for 40 and 120 by Prime Factorization

The second method to find GCF for numbers 40 and 120 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 120: 2, 2, 2, 3, 5

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

Now we need to multiply them to find GCF: 2 × 2 × 2 × 5 = 40

GCF Table

Number 1Number 2GCF
251205
261202
271203
281204
291201
30120
311201
321208
331203
341202
35120
36120
371201
381202
391203
40120
411201
42120
431201
441204
45120
461202
471201
48120
491201
5012010
511203
521204
531201
54120

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 120? (The answer is: 40). Select the first number (e.g. '40') and the second number (e.g. '120'). 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 120?

GCF of 40 and 120 is 40