What is the Greatest Common Factor of 6734 and 6751?

Greatest common factor (GCF) of 6734 and 6751 is 1.

GCF(6734,6751) = 1

We will now calculate the prime factors of 6734 and 6751, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6734 and 6751.

How to find the GCF of 6734 and 6751?

We will first find the prime factorization of 6734 and 6751. After we will calculate the factors of 6734 and 6751 and find the biggest common factor number .

Step-1: Prime Factorization of 6734

Prime factors of 6734 are 2, 7, 13, 37. Prime factorization of 6734 in exponential form is:

6734 = 2¹ × 7¹ × 13¹ × 37¹

Step-2: Prime Factorization of 6751

Prime factors of 6751 are 43, 157. Prime factorization of 6751 in exponential form is:

6751 = 43¹ × 157¹

Step-3: Factors of 6734

List of positive integer factors of 6734 that divides 6734 without a remainder.

1, 2, 7, 13, 14, 26, 37, 74, 91, 182, 259, 481, 518, 962, 3367

Step-4: Factors of 6751

List of positive integer factors of 6751 that divides 6734 without a remainder.

1, 43, 157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6734 and 6751. The biggest common factor number is the GCF number.
So the greatest common factor 6734 and 6751 is 1.

Also check out the Least Common Multiple of 6734 and 6751