GCF for 100 and 110

What is the Greatest Common Factor of 100 and 110?

Answer: GCF of 100 and 110 is 10

(Ten)

Finding GCF for 100 and 110 using all factors (divisors) listing

The first method to find GCF for numbers 100 and 110 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 110: 1, 2, 5, 10, 11, 22, 55, 110

So the Greatest Common Factor for 100 and 110 is 10

Finding GCF for 100 and 110 by Prime Factorization

The second method to find GCF for numbers 100 and 110 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 110: 2, 5, 11

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

Now we need to multiply them to find GCF: 2 × 5 = 10

GCF Table

Number 1Number 2GCF
851105
861102
871101
8811022
891101
9011010
911101
921102
931101
941102
951105
961102
971101
981102
9911011
10011010
1011101
1021102
1031101
1041102
1051105
1061102
1071101
1081102
1091101
110110110
1111101
1121102
1131101
1141102

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 Factor of 100 and 110? (The answer is: 10). Select the first number (e.g. '100') and the second number (e.g. '110'). 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 Factor of 100 and 110?

GCF of 100 and 110 is 10