GCF for 100 and 170

What is the Greatest Common Factor of 100 and 170?

Answer: GCF of 100 and 170 is 10

(Ten)

Finding GCF for 100 and 170 using all factors (divisors) listing

The first method to find GCF for numbers 100 and 170 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 170: 1, 2, 5, 10, 17, 34, 85, 170

So the Greatest Common Factor for 100 and 170 is 10

Finding GCF for 100 and 170 by Prime Factorization

The second method to find GCF for numbers 100 and 170 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 170: 2, 5, 17

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
8517085
861702
871701
881702
891701
9017010
911701
921702
931701
941702
951705
961702
971701
981702
991701
10017010
1011701
102170
1031701
1041702
1051705
1061702
1071701
1081702
1091701
110170
1111701
1121702
1131701
1141702

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 170? (The answer is: 10). Select the first number (e.g. '100') and the second number (e.g. '170'). 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 170?

GCF of 100 and 170 is 10