GCF for 40 and 460

What is the Greatest common Divisor of 40 and 460?

Answer: GCF of 40 and 460 is 20

(Twenty)

Finding GCF for 40 and 460 using all factors (divisors) listing

The first method to find GCF for numbers 40 and 460 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 460: 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

So the Greatest Common Factor for 40 and 460 is 20

Finding GCF for 40 and 460 by Prime Factorization

The second method to find GCF for numbers 40 and 460 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 460: 2, 2, 5, 23

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
254605
264602
274601
284604
294601
3046010
314601
324604
334601
344602
354605
364604
374601
384602
394601
4046020
414601
424602
434601
444604
454605
4646046
474601
484604
494601
5046010
514601
524604
534601
544602

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 460? (The answer is: 20). Select the first number (e.g. '40') and the second number (e.g. '460'). 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 460?

GCF of 40 and 460 is 20