What is the greatest common factor of 45 and 125?

Greatest Common Factor Calculator / Converter

You have reached us maybe looking for answers to the questions like: What is the greatest common factor of 45 and 125? or what is the highest common factor (HCF) of 45 and 125?

What is the GCF of 45 and 125?

The first step to find the gcf of 45 and 125 is to list the factors of each number. The factors of 45 are 1, 3, 5, 9, 15 and 45. The factors of 125 are 1, 5, 25 and 125. So, the Greatest Common Factor for these numbers is 5 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(45, 125).

In this case we have:

The factors of 45 (all the whole numbers that can divide the number without a remainder) are 1, 3, 5, 9, 15 and 45;
The factors of 125 are 1, 5, 25 and 125.

The second step is to analyze which are the common divisors. It is not difficult to see that the 'Greatest Common Factor' or 'Divisor' for 45 and 125 is 5. The GCF is the largest common positive integer that divides all the numbers (45, 125) 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

Greatest Common Factor Calculator

Please link to this page! Just right click on the above image, choose copy link address, then past it in your HTML.

GCF Examples

GCF of 2,13 and 13
GCF of 104 and 189
GCF of 51 and 75
GCF of 12,13 and 13
GCF of 196 and 243

ncG1vNJzZmibn6S5pLvNr5yrq5mku2%2BvzqZmppmknXyor8VojqGZpGK2tHnToZxmn6KarrWx0q1knKedoryvecWamq2nomK8p3m%2BbWxeanNgfnOBvl5qfw%3D%3D