What is the greatest common factor of 156 and 192?

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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 156 and 192? or what is the highest common factor (HCF) of 156 and 192?

What is the GCF of 156 and 192?

The first step to find the gcf of 156 and 192 is to list the factors of each number. The factors of 156 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, and 156. The factors of 192 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, and 192. So, the Greatest Common Factor for these numbers is 12 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(156,192).

In this case, we have:

The factors of 156 (all the whole numbers that can divide the number without a remainder) are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, and 156;
The factors of 192 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, and 192.

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 156 and 192 is 12. The GCF is the largest common positive integer that divides all the numbers (156,192) 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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