GCF for 295 and 1000

What is the Greatest common Divisor of 295 and 1000?

Answer: GCF of 295 and 1000 is 5

(Five)

Finding GCF for 295 and 1000 using all factors (divisors) listing

The first method to find GCF for numbers 295 and 1000 is to list all factors for both numbers and pick the highest common one:

All factors of 295: 1, 5, 59, 295

All factors of 1000: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000

So the Greatest Common Factor for 295 and 1000 is 5

Finding GCF for 295 and 1000 by Prime Factorization

The second method to find GCF for numbers 295 and 1000 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 295: 5, 59

All Prime Factors of 1000: 2, 2, 2, 5, 5, 5

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 295 and 1000

GCF Table

Number 1Number 2GCF
280100040
28110001
28210002
28310001
28410004
28510005
28610002
28710001
28810008
28910001
290100010
29110001
29210004
29310001
29410002
29510005
29610008
29710001
29810002
29910001
3001000100
30110001
30210002
30310001
30410008
30510005
30610002
30710001
30810004
30910001

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 295 and 1000? (The answer is: 5). Select the first number (e.g. '295') and the second number (e.g. '1000'). 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 295 and 1000?

GCF of 295 and 1000 is 5