GCF for 100 and 160

What is the Greatest common Divisor of 100 and 160?

Answer: GCF of 100 and 160 is 20

(Twenty)

Finding GCF for 100 and 160 using all factors (divisors) listing

The first method to find GCF for numbers 100 and 160 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 160: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

So the Greatest Common Factor for 100 and 160 is 20

Finding GCF for 100 and 160 by Prime Factorization

The second method to find GCF for numbers 100 and 160 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 160: 2, 2, 2, 2, 2, 5

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

Now we need to multiply them to find GCF: 2 × 2 × 5 = 20

GCF Table

Number 1Number 2GCF
851605
861602
871601
881608
891601
9016010
911601
921604
931601
941602
951605
96160
971601
981602
991601
10016020
1011601
1021602
1031601
1041608
1051605
1061602
1071601
1081604
1091601
110160
1111601
11216016
1131601
1141602

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 160? (The answer is: 20). Select the first number (e.g. '100') and the second number (e.g. '160'). 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 160?

GCF of 100 and 160 is 20