What is the Greatest Common Factor of 6734 and 6752?

Greatest common factor (GCF) of 6734 and 6752 is 2.

GCF(6734,6752) = 2

We will now calculate the prime factors of 6734 and 6752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6734 and 6752.

How to find the GCF of 6734 and 6752?

We will first find the prime factorization of 6734 and 6752. After we will calculate the factors of 6734 and 6752 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 6752

Prime factors of 6752 are 2, 211. Prime factorization of 6752 in exponential form is:

6752 = 2⁵ × 211¹

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 6752

List of positive integer factors of 6752 that divides 6734 without a remainder.

1, 2, 4, 8, 16, 32, 211, 422, 844, 1688, 3376

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6734 and 6752. The biggest common factor number is the GCF number.
So the greatest common factor 6734 and 6752 is 2.

Also check out the Least Common Multiple of 6734 and 6752