GCF for 100 and 320

What is the Greatest common Divisor of 100 and 320?

Answer: GCF of 100 and 320 is 20

(Twenty)

Finding GCF for 100 and 320 using all factors (divisors) listing

The first method to find GCF for numbers 100 and 320 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 320: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

So the Greatest Common Factor for 100 and 320 is 20

Finding GCF for 100 and 320 by Prime Factorization

The second method to find GCF for numbers 100 and 320 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 320: 2, 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
853205
863202
873201
883208
893201
9032010
913201
923204
933201
943202
953205
9632032
973201
983202
993201
10032020
1013201
1023202
1033201
1043208
1053205
1063202
1073201
1083204
1093201
11032010
1113201
11232016
1133201
1143202

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 320? (The answer is: 20). Select the first number (e.g. '100') and the second number (e.g. '320'). 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 320?

GCF of 100 and 320 is 20