What is the Greatest Common Factor of 6675 and 6691?

Greatest common factor (GCF) of 6675 and 6691 is 1.

GCF(6675,6691) = 1

We will now calculate the prime factors of 6675 and 6691, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6675 and 6691.

How to find the GCF of 6675 and 6691?

We will first find the prime factorization of 6675 and 6691. After we will calculate the factors of 6675 and 6691 and find the biggest common factor number .

Step-1: Prime Factorization of 6675

Prime factors of 6675 are 3, 5, 89. Prime factorization of 6675 in exponential form is:

6675 = 3¹ × 5² × 89¹

Step-2: Prime Factorization of 6691

Prime factors of 6691 are 6691. Prime factorization of 6691 in exponential form is:

6691 = 6691¹

Step-3: Factors of 6675

List of positive integer factors of 6675 that divides 6675 without a remainder.

1, 3, 5, 15, 25, 75, 89, 267, 445, 1335, 2225

Step-4: Factors of 6691

List of positive integer factors of 6691 that divides 6675 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6675 and 6691. The biggest common factor number is the GCF number.
So the greatest common factor 6675 and 6691 is 1.

Also check out the Least Common Multiple of 6675 and 6691