What is the Greatest Common Factor of 6695 and 6701?

Greatest common factor (GCF) of 6695 and 6701 is 1.

GCF(6695,6701) = 1

We will now calculate the prime factors of 6695 and 6701, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6695 and 6701.

How to find the GCF of 6695 and 6701?

We will first find the prime factorization of 6695 and 6701. After we will calculate the factors of 6695 and 6701 and find the biggest common factor number .

Step-1: Prime Factorization of 6695

Prime factors of 6695 are 5, 13, 103. Prime factorization of 6695 in exponential form is:

6695 = 5¹ × 13¹ × 103¹

Step-2: Prime Factorization of 6701

Prime factors of 6701 are 6701. Prime factorization of 6701 in exponential form is:

6701 = 6701¹

Step-3: Factors of 6695

List of positive integer factors of 6695 that divides 6695 without a remainder.

1, 5, 13, 65, 103, 515, 1339

Step-4: Factors of 6701

List of positive integer factors of 6701 that divides 6695 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6695 and 6701. The biggest common factor number is the GCF number.
So the greatest common factor 6695 and 6701 is 1.

Also check out the Least Common Multiple of 6695 and 6701