GCF for 40 and 725

What is the Greatest common Divisor of 40 and 725?

Answer: GCF of 40 and 725 is 5

(Five)

Finding GCF for 40 and 725 using all factors (divisors) listing

The first method to find GCF for numbers 40 and 725 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 725: 1, 5, 25, 29, 145, 725

So the Greatest Common Factor for 40 and 725 is 5

Finding GCF for 40 and 725 by Prime Factorization

The second method to find GCF for numbers 40 and 725 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 725: 5, 5, 29

As we can see there is only one Prime Factor common to both numbers. It is 5

So 5 is the Greatest Common Factor of 40 and 725

GCF Table

Number 1Number 2GCF
2572525
267251
277251
287251
2972529
307255
317251
327251
337251
347251
357255
367251
377251
387251
397251
407255
417251
427251
437251
447251
457255
467251
477251
487251
497251
5072525
517251
527251
537251
547251

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 725? (The answer is: 5). Select the first number (e.g. '40') and the second number (e.g. '725'). 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 725?

GCF of 40 and 725 is 5