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GCD of 68 and 144

You have reached us maybe looking for answers to the questions like: GCD of 68 and 144 or what is the highest common factor (HCF) of 68 and 144?

What is the GCF of 68 and 144?

The first step to find the gcf of 68 and 144 is to list the factors of each number. The factors of 68 are 1, 2, 4, 17, 34 and 68. The factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72 and 144. So, the Greatest Common Factor for these numbers is 4 because it divides all them without a remainder. Read more about Common Factors below.

To use the GCD / GCF / HCF Calculator below just enter a set of numbers separated by commas (,).

GCF Calculator

Enter values separeted by commas:
 Ex.: 2,4,8; 3,6 etc.

Short Answer:
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Detailed Answer:
Greatest Common Divisor explained here

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(68,144).

In this case we have:

  • The factors of 68 (all the whole numbers that can divide the number without a remainder) are 1, 2, 4, 17, 34 and 68;
  • The factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72 and 144.

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 68 and 144 is 4. The GCF is the largest common positive integer that divides all the numbers (68,144) without a remainder.

The GCF is also known as:

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

To learn more about GCF/GCD, watch this video from Khan Academy or/and read this arcticle.

Greatest Common Factor Calculator

Greatest Common Factor Calculator

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