What is the Greatest Common Factor of 6575 and 6587?

Greatest common factor (GCF) of 6575 and 6587 is 1.

GCF(6575,6587) = 1

We will now calculate the prime factors of 6575 and 6587, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6575 and 6587.

How to find the GCF of 6575 and 6587?

We will first find the prime factorization of 6575 and 6587. After we will calculate the factors of 6575 and 6587 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 6587

Prime factors of 6587 are 7, 941. Prime factorization of 6587 in exponential form is:

6587 = 7¹ × 941¹

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 6587

List of positive integer factors of 6587 that divides 6575 without a remainder.

1, 7, 941

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6575 and 6587. The biggest common factor number is the GCF number.
So the greatest common factor 6575 and 6587 is 1.

Also check out the Least Common Multiple of 6575 and 6587