GCF for 125 and 200

What is the Greatest common Divisor of 125 and 200?

Answer: GCF of 125 and 200 is 25

(Twenty-five)

Finding GCF for 125 and 200 using all factors (divisors) listing

The first method to find GCF for numbers 125 and 200 is to list all factors for both numbers and pick the highest common one:

All factors of 125: 1, 5, 25, 125

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

So the Greatest Common Factor for 125 and 200 is 25

Finding GCF for 125 and 200 by Prime Factorization

The second method to find GCF for numbers 125 and 200 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 125: 5, 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

GCF Table

Number 1Number 2GCF
11020010
1112001
1122008
1132001
1142002
1152005
1162004
1172001
1182002
1192001
120200
1212001
1222002
1232001
1242004
125200
1262002
1272001
1282008
1292001
13020010
1312001
1322004
1332001
1342002
1352005
1362008
1372001
1382002
1392001

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 125 and 200? (The answer is: 25). Select the first number (e.g. '125') 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

FAQ

What is the Greatest common Divisor of 125 and 200?

GCF of 125 and 200 is 25