What is the greatest common factor of 100 and 100?

Greatest Common Factor Calculator / Converter

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Detailed Answer:

Greatest Common Divisor explained here

You have reached us maybe looking for answers to the questions like: What is the greatest common factor of 100 and 100? or what is the highest common factor (HCF) of 100 and 100?

What is the GCF of 100 and 100?

The first step to find the gcf of 100 and 100 is to list the factors of each number. The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100. The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100. So, the Greatest Common Factor for these numbers is 100 because it divides all them without a remainder. Read more about Common Factors below.

How to find the Greatest Common Factor

GCF example:

The first step is to find all divisors of each number. For instance, let us find the GCF(100,100).

In this case, we have:

The factors of 100 (all the whole numbers that can divide the number without a remainder) are 1, 2, 4, 5, 10, 20, 25, 50, and 100;
The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100.

The second step is to determine which are the common divisors. It is not difficult to see that the 'Greatest Common Factor' or 'Divisor' for 100 and 100 is 100. The GCF is the largest common positive integer that divides all the numbers (100,100) without a remainder.

In the name greatest common divisor, the adjective "greatest" may be replaced by "highest", and the word "divisor" may be replaced by "factor", so that other names include highest common factor (hcf), greatest common measure, among others.

So, the GCF is also known as:

Greatest common divisor (gcd);
Highest common factor (hcf);
Greatest common measure (gcm), or
Highest common divisor

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