GCF for 125 and 225

What is the Greatest common Divisor of 125 and 225?

Answer: GCF of 125 and 225 is 25

(Twenty-five)

Finding GCF for 125 and 225 using all factors (divisors) listing

The first method to find GCF for numbers 125 and 225 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 225: 1, 3, 5, 9, 15, 25, 45, 75, 225

So the Greatest Common Factor for 125 and 225 is 25

Finding GCF for 125 and 225 by Prime Factorization

The second method to find GCF for numbers 125 and 225 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 225: 3, 3, 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

See Also

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 225? (The answer is: 25). Select the first number (e.g. '125') and the second number (e.g. '225'). 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

GCF Table

Number 1Number 2GCF
1102255
1112253
1122251
1132251
1142253
1152255
1162251
1172259
1182251
1192251
12022515
1212251
1222251
1232253
1242251
125225
1262259
1272251
1282251
1292253
1302255
1312251
1322253
1332251
1342251
13522545
1362251
1372251
1382253
1392251

FAQ

What is the Greatest common Divisor of 125 and 225?

GCF of 125 and 225 is 25