GCD of 98 and 432

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Greatest Common Divisor explained here

You have reached us maybe looking for answers to the questions like: GCD of 98 and 432 or what is the highest common factor (HCF) of 98 and 432?

What is the GCF of 98 and 432?

The first step to find the gcf of 98 and 432 is to list the factors of each number. The factors of 98 are 1, 2, 7, 14, 49 and 98. The factors of 432 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216 and 432. So, the Greatest Common Factor for these numbers is 2 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(98,432).

In this case we have:

  • The factors of 98 (all the whole numbers that can divide the number without a remainder) are 1, 2, 7, 14, 49 and 98;
  • The factors of 432 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216 and 432.

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 98 and 432 is 2. The GCF is the largest common positive integer that divides all the numbers (98,432) 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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