What is the Greatest Common Factor of 6575 and 6581?

Greatest common factor (GCF) of 6575 and 6581 is 1.

GCF(6575,6581) = 1

We will now calculate the prime factors of 6575 and 6581, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6575 and 6581.

How to find the GCF of 6575 and 6581?

We will first find the prime factorization of 6575 and 6581. After we will calculate the factors of 6575 and 6581 and find the biggest common factor number .

Step-1: Prime Factorization of 6575

Prime factors of 6575 are 5, 263. Prime factorization of 6575 in exponential form is:

6575 = 5² × 263¹

Step-2: Prime Factorization of 6581

Prime factors of 6581 are 6581. Prime factorization of 6581 in exponential form is:

6581 = 6581¹

Step-3: Factors of 6575

List of positive integer factors of 6575 that divides 6575 without a remainder.

1, 5, 25, 263, 1315

Step-4: Factors of 6581

List of positive integer factors of 6581 that divides 6575 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6575 and 6581. The biggest common factor number is the GCF number.
So the greatest common factor 6575 and 6581 is 1.

Also check out the Least Common Multiple of 6575 and 6581