What is the greatest common factor of 34 and 136?

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What is the GCF of 34 and 136?

The first step to find the gcf of 34 and 136 is to list the factors of each number. The factors of 34 are 1, 2, 17 and 34. The factors of 136 are 1, 2, 4, 8, 17, 34, 68 and 136. So, the Greatest Common Factor for these numbers is 34 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

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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(34,136).

In this case we have:

  • The factors of 34 (all the whole numbers that can divide the number without a remainder) are 1, 2, 17 and 34;
  • The factors of 136 are 1, 2, 4, 8, 17, 34, 68 and 136.

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 34 and 136 is 34. The GCF is the largest common positive integer that divides all the numbers (34,136) 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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