GCF for 3575 and 1000

What is the Greatest common Divisor of 3575 and 1000?

Answer: GCF of 3575 and 1000 is 25

(Twenty-five)

Finding GCF for 3575 and 1000 using all factors (divisors) listing

The first method to find GCF for numbers 3575 and 1000 is to list all factors for both numbers and pick the highest common one:

All factors of 3575: 1, 5, 11, 13, 25, 55, 65, 143, 275, 325, 715, 3575

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 3575 and 1000 is 25

Finding GCF for 3575 and 1000 by Prime Factorization

The second method to find GCF for numbers 3575 and 1000 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 3575: 5, 5, 11, 13

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

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

Now we need to multiply them to find GCF: 5 × 5 = 25

GCF Table

Number 1Number 2GCF
3560100040
356110001
356210002
356310001
356410004
356510005
356610002
356710001
356810008
356910001
3570100010
357110001
357210004
357310001
357410002
3575100025
357610008
357710001
357810002
357910001
3580100020
358110001
358210002
358310001
358410008
358510005
358610002
358710001
358810004
358910001

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 3575 and 1000? (The answer is: 25). Select the first number (e.g. '3575') 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 3575 and 1000?

GCF of 3575 and 1000 is 25