What is the Greatest Common Factor of 6737 and 6755?

Greatest common factor (GCF) of 6737 and 6755 is 1.

GCF(6737,6755) = 1

We will now calculate the prime factors of 6737 and 6755, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6737 and 6755.

How to find the GCF of 6737 and 6755?

We will first find the prime factorization of 6737 and 6755. After we will calculate the factors of 6737 and 6755 and find the biggest common factor number .

Step-1: Prime Factorization of 6737

Prime factors of 6737 are 6737. Prime factorization of 6737 in exponential form is:

6737 = 6737¹

Step-2: Prime Factorization of 6755

Prime factors of 6755 are 5, 7, 193. Prime factorization of 6755 in exponential form is:

6755 = 5¹ × 7¹ × 193¹

Step-3: Factors of 6737

List of positive integer factors of 6737 that divides 6737 without a remainder.

Step-4: Factors of 6755

List of positive integer factors of 6755 that divides 6737 without a remainder.

1, 5, 7, 35, 193, 965, 1351

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6737 and 6755. The biggest common factor number is the GCF number.
So the greatest common factor 6737 and 6755 is 1.

Also check out the Least Common Multiple of 6737 and 6755