GCF for 40 and 825

What is the Greatest Common Factor of 40 and 825?

Answer: GCF of 40 and 825 is 5

(Five)

Finding GCF for 40 and 825 using all factors (divisors) listing

The first method to find GCF for numbers 40 and 825 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 825: 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

So the Greatest Common Factor for 40 and 825 is 5

Finding GCF for 40 and 825 by Prime Factorization

The second method to find GCF for numbers 40 and 825 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 825: 3, 5, 5, 11

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 825

GCF Table

Number 1Number 2GCF
2582525
268251
278253
288251
298251
3082515
318251
328251
3382533
348251
358255
368253
378251
388251
398253
408255
418251
428253
438251
4482511
4582515
468251
478251
488253
498251
5082525
518253
528251
538251
548253

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 Factor of 40 and 825? (The answer is: 5). Select the first number (e.g. '40') and the second number (e.g. '825'). 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 Factor of 40 and 825?

GCF of 40 and 825 is 5