# hi i just need help with what the greatest common factor of 51 and 34 is

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## To find the greatest common factor (GCF) of 51 and 34, you can use a method called prime factorization.

Step 1: Prime Factorization

Prime factorization means breaking down each number into its prime factors. A prime factor is a prime number that divides the given number without leaving a remainder.

The prime factorization of 51 is:

51 = 3 * 17

The prime factorization of 34 is:

34 = 2 * 17

Step 2: Common Prime Factors

Now, we need to find the common prime factors of both numbers. In this case, both 51 and 34 have a common prime factor of 17.

Step 3: GCF Calculation

The greatest common factor (GCF) is the product of the common prime factors. In this case, the GCF of 51 and 34 is 17.

So, the greatest common factor of 51 and 34 is 17.