GCF for 25 and 200

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 25 and 200?

Answer: GCF of 25 and 200 is 25

(Twenty-five)

Finding GCF for 25 and 200 using all factors (divisors) listing

The first method to find GCF for numbers 25 and 200 is to list all factors for both numbers and pick the highest common one:

All factors of 25: 1, 5, 25

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

So the Greatest Common Factor for 25 and 200 is 25

Finding GCF for 25 and 200 by Prime Factorization

The second method to find GCF for numbers 25 and 200 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 25: 5, 5

All Prime Factors of 200: 2, 2, 2, 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

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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 25 and 200? (The answer is: 25). Select the first number (e.g. '25') and the second number (e.g. '200'). 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

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

GCF Table

Number 1Number 2GCF
1020010
112001
122004
132001
142002
152005
162008
172001
182002
192001
2020020
212001
222002
232001
242008
2520025
262002
272001
282004
292001
3020010
312001
322008
332001
342002
352005
362004
372001
382002
392001

FAQ

What is the Greatest common Divisor of 25 and 200?

GCF of 25 and 200 is 25

See Also