GCF for 100 and 250

What is the Greatest common Divisor of 100 and 250?

Answer: GCF of 100 and 250 is 50

(Fifty)

Finding GCF for 100 and 250 using all factors (divisors) listing

The first method to find GCF for numbers 100 and 250 is to list all factors for both numbers and pick the highest common one:

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

All factors of 250: 1, 2, 5, 10, 25, 50, 125, 250

So the Greatest Common Factor for 100 and 250 is 50

Finding GCF for 100 and 250 by Prime Factorization

The second method to find GCF for numbers 100 and 250 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 100: 2, 2, 5, 5

All Prime Factors of 250: 2, 5, 5, 5

As we can see there are Prime Factors common to both numbers: 2, 5, 5

Now we need to multiply them to find GCF: 2 × 5 × 5 = 50

See Also

GCF Table

Number 1Number 2GCF
852505
862502
872501
882502
892501
9025010
912501
922502
932501
942502
952505
962502
972501
982502
992501
100250
1012501
1022502
1032501
1042502
1052505
1062502
1072501
1082502
1092501
11025010
1112501
1122502
1132501
1142502

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 100 and 250? (The answer is: 50). Select the first number (e.g. '100') and the second number (e.g. '250'). 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 100 and 250?

GCF of 100 and 250 is 50