GCF for 100 and 300

What is the Greatest Common Factor of 100 and 300?

Answer: GCF of 100 and 300 is 100

(Hundred)

Finding GCF for 100 and 300 using all factors (divisors) listing

The first method to find GCF for numbers 100 and 300 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 300: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

So the Greatest Common Factor for 100 and 300 is 100

Finding GCF for 100 and 300 by Prime Factorization

The second method to find GCF for numbers 100 and 300 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 300: 2, 2, 3, 5, 5

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

Now we need to multiply them to find GCF: 2 × 2 × 5 × 5 = 100

GCF Table

Number 1Number 2GCF
853005
863002
873003
883004
893001
9030030
913001
923004
933003
943002
953005
9630012
973001
983002
993003
100300100
1013001
1023006
1033001
1043004
10530015
1063002
1073001
10830012
1093001
11030010
1113003
1123004
1133001
1143006

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 300? (The answer is: 100). Select the first number (e.g. '100') and the second number (e.g. '300'). 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 300?

GCF of 100 and 300 is 100